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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
quant-ph/9710036 | Lev Vaidman | Lev Vaidman | Time-Symmetrized Quantum Theory | 12 pages, LaTeX2e, 1 eps figure, Fundamental problems in quantum
theory, UMBC 97, invited lecture | null | 10.1002/(SICI)1521-3978(199811)46:6/8<729::AID-PROP729>3.0.CO;2-Q | TAUP 2461-97 | quant-ph | null | A brief review of the time-symmetrized quantum formalism originated by
Aharonov, Bergmann and Lebowitz is presented. Symmetry of various measurements
under the time reversal is analyzed. Time-symmetrized counterfactuals are
introduced. It is argued that the time-symmetrized formalism demonstrates novel
profound features of quantum theory and that recent criticism of the formalism
is unfounded.
| [
{
"version": "v1",
"created": "Tue, 14 Oct 1997 09:53:33 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Vaidman",
"Lev",
""
]
] |
quant-ph/9710037 | Janusz Miskiewicz | Janusz Miskiewicz | Application of the Discrete Quantum - Classical System to the
Information Transfer | 41 Latex pages, submitted to Open Systems & Information Dynamics | null | null | null | quant-ph | null | The role and the form of detectors applicable to the quantum information
transfer are investigated. The detectors are described within the Event -
Enhanced Quantum Theory.
| [
{
"version": "v1",
"created": "Tue, 14 Oct 1997 12:25:25 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Miskiewicz",
"Janusz",
""
]
] |
quant-ph/9710038 | null | Stefano Mancini and Paolo Tombesi (Dip. Matematica e Fisica, Univ.
Camerino, Italy) | Quantum State Reconstruction of a Bose-Einstein Condensate | 11 pages, LaTeX file, no figures, to appear in Europhysics Letters | Europhys.Lett. 40 (1997) 351 | 10.1209/epl/i1997-00470-4 | null | quant-ph | null | We propose a tomographic scheme to reconstruct the quantum state of a
Bose-Einstein condensate, exploiting the radiation field as a probe and
considering the atomic internal degrees of freedom. The density matrix in the
number state basis can be directly retrieved from the atom counting
probabilities.
| [
{
"version": "v1",
"created": "Tue, 14 Oct 1997 13:07:28 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Mancini",
"Stefano",
"",
"Dip. Matematica e Fisica, Univ.\n Camerino, Italy"
],
[
"Tombesi",
"Paolo",
"",
"Dip. Matematica e Fisica, Univ.\n Camerino, Italy"
]
] |
quant-ph/9710039 | Marcelo Schiffer | M. Schiffer | Sonoluminescence: The Superradiance Paradigm | 7 pages, Latex, 1 figure sono.ps file | null | null | null | quant-ph | null | In this article we explain sonoluminescence from ideas borrowed from
superradiance. The model has no free parameters and the predicted energies of
quanta agree with experiment. It also hints why noble gases play a pivotal role
in the effect.
| [
{
"version": "v1",
"created": "Tue, 14 Oct 1997 13:33:45 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Schiffer",
"M.",
""
]
] |
quant-ph/9710040 | Hayashi Masahito | Masahito Hayashi | Asymptotic Quantum Parameter Estimation in Spin 1/2 System | LaTeX, 6 pages, submitted to The Proceedings of 5th International
Conference on Squeezed States and Uncertainty Relations | null | null | null | quant-ph | null | For the precise estimation of the unknown quantum state, the independent
samples should be prepared. Can we reduce the error of the estimation by the
measurement using the quantum correlation between every sample? In this paper,
this question is treated in the parameter estimation for the unknown state.
| [
{
"version": "v1",
"created": "Thu, 16 Oct 1997 02:10:28 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Hayashi",
"Masahito",
""
]
] |
quant-ph/9710041 | Paolo Zanardi | P. Zanardi (1,3) and M. Rasetti (2,3) ((1) ISI Foundation, Torino (2)
Dipartimento di fisica, Politecnico di Torino, (3) INFM Politecnico di
Torino) | Error Avoiding Quantum Codes | 9 pages, LaTeX | Mod. Phys. Lett. B, 25, 1085 (1997) | 10.1142/S0217984997001304 | null | quant-ph | null | The existence is proved of a class of open quantum systems that admits a
linear subspace ${\cal C}$ of the space of states such that the restriction of
the dynamical semigroup to the states built over $\cal C$ is unitary. Such
subspace allows for error-avoiding (noiseless) enconding of quantum
information.
| [
{
"version": "v1",
"created": "Thu, 16 Oct 1997 07:44:16 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Zanardi",
"P.",
""
],
[
"Rasetti",
"M.",
""
]
] |
quant-ph/9710042 | Daniel I. Fivel | Daniel I. Fivel | An Indication From the Magnitude of CP Violations that Gravitation is a
Possible Cause of Wave-Function Collapse | 6 pages, 0 figures, plain TeX | null | null | null | quant-ph gr-qc hep-ph hep-th | null | We consider experimental evidence for the hypothesis that the Planck energy,
$E_p \approx 10^{19}GeV$, sets the scale $\epsilon$ at which wave function
collapse causes deviations from linear Schr\"{o}dinger evolution. With a few
plausible assumptions about the collapse process, we first show that the
observed CP violation in $K_L$ decay implies a lower bound on $\epsilon$
remarkably close to $E_p$. If the bound is saturated, the entire CP violation
is due to collapse and a prediction made that the branching ratio for CP
violation in the B meson decay will be $\gamma \approx 10^{-5}$. We then show
that the assumptions are consequences of a simple non-linear, stochastic
modification of the Schr\"{o}dinger equation with $\epsilon$ setting the scale
of the non-linearity.
| [
{
"version": "v1",
"created": "Thu, 16 Oct 1997 19:21:02 GMT"
},
{
"version": "v2",
"created": "Fri, 17 Oct 1997 23:25:47 GMT"
},
{
"version": "v3",
"created": "Sun, 19 Oct 1997 16:08:34 GMT"
},
{
"version": "v4",
"created": "Tue, 21 Oct 1997 22:02:08 GMT"
},
{
"version": "v5",
"created": "Sat, 25 Oct 1997 01:29:21 GMT"
},
{
"version": "v6",
"created": "Tue, 4 Nov 1997 05:17:21 GMT"
},
{
"version": "v7",
"created": "Wed, 5 Nov 1997 15:07:25 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Fivel",
"Daniel I.",
""
]
] |
quant-ph/9710043 | Norman Margolus | Norman Margolus and Lev B. Levitin | The maximum speed of dynamical evolution | 14 pages, no figures, LaTex2e (elsart). This is the published
version, which includes brief semi-classical and relativistic discussions not
included in the original preprint | Physica D120 (1998) 188-195 | 10.1016/S0167-2789(98)00054-2 | null | quant-ph | null | We discuss the problem of counting the maximum number of distinct states that
an isolated physical system can pass through in a given period of time---its
maximum speed of dynamical evolution. Previous analyses have given bounds in
terms of the standard deviation of the energy of the system; here we give a
strict bound that depends only on E-E0, the system's average energy minus its
ground state energy. We also discuss bounds on information processing rates
implied by our bound on the speed of dynamical evolution. For example, adding
one Joule of energy to a given computer can never increase its processing rate
by more than about 3x10^33 operations per second.
| [
{
"version": "v1",
"created": "Fri, 17 Oct 1997 19:27:09 GMT"
},
{
"version": "v2",
"created": "Sun, 25 Oct 1998 20:31:21 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Margolus",
"Norman",
""
],
[
"Levitin",
"Lev B.",
""
]
] |
quant-ph/9710044 | Sara Schneider | S. Schneider and G.J. Milburn | Decoherence in ion traps due to laser intensity and phase fluctuations | 2 figures, submitted to PRA | null | 10.1103/PhysRevA.57.3748 | null | quant-ph | null | We consider one source of decoherence for a single trapped ion due to
intensity and phase fluctuations in the exciting laser pulses. For simplicity
we assume that the stochastic processes involved are white noise processes,
which enables us to give a simple master equation description of this source of
decoherence. This master equation is averaged over the noise, and is sufficient
to describe the results of experiments that probe the oscillations in the
electronic populations as energy is exchanged between the internal and
electronic motion. Our results are in good qualitative agreement with recent
experiments and predict that the decoherence rate will depend on vibrational
quantum number in different ways depending on which vibrational excitation
sideband is used.
| [
{
"version": "v1",
"created": "Mon, 20 Oct 1997 02:43:49 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Schneider",
"S.",
""
],
[
"Milburn",
"G. J.",
""
]
] |
quant-ph/9710045 | Yeranuhy Hakobyan | Ye.M.Hakobyan, G.S.Pogosyan, A.N.Sissakian, S.I.Vinitsky | Isotropic oscillator in the space of constant positive curvature.
Interbasis expansions | 21 pages, LaTex | Phys. Atom. Nucl. 62 (1999) 623-637; Yad. Fiz . 62 (1999) 671-685 | null | null | quant-ph hep-th math-ph math.MP | null | The Schr\"odinger equation is thoroughly analysed for the isotropic
oscillator in the three-dimensional space of constant positive curvature in the
spherical and cylindrical systems of coordinates. The expansion coefficients
between the spherical and cylindrical bases of the oscillator are calculated.
It is shown that the relevant coefficients are expressed through the
generalised hypergeometric functions $_4F_3$ of the unit argument or $6_j$
Racah symbols extended over their indices to the region of real values.
Limiting transitions to a free motion and flat space are considered in detail.
Elliptic bases of the oscillator are constructed in the form of expansion over
the spherical and cylindrical bases. The corresponding expansion coefficients
are shown to obey the three-term recurrence relations.
| [
{
"version": "v1",
"created": "Mon, 20 Oct 1997 14:36:59 GMT"
},
{
"version": "v2",
"created": "Mon, 12 Jul 1999 20:26:05 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Hakobyan",
"Ye. M.",
""
],
[
"Pogosyan",
"G. S.",
""
],
[
"Sissakian",
"A. N.",
""
],
[
"Vinitsky",
"S. I.",
""
]
] |
quant-ph/9710046 | Aephraim M. Steinberg | Aephraim M. Steinberg (Dept. of Physics, Univ. of Toronto) | Can a falling tree make a noise in two forests at the same time? | 9 pp, Latex, 3 figs, to appear in Proc. Obsc. Unr. Conf.; Fig 2
postscript repaired on 26.10.97 | null | null | null | quant-ph physics.atom-ph | null | It is a commonplace to claim that quantum mechanics supports the old idea
that a tree falling in a forest makes no sound unless there is a listener
present. In fact, this conclusion is far from obvious. Furthermore, if a
tunnelling particle is observed in the barrier region, it collapses to a state
in which it is no longer tunnelling. Does this imply that while tunnelling, the
particle can not have any physical effects? I argue that this is not the case,
and moreover, speculate that it may be possible for a particle to have effects
on two spacelike separate apparatuses simultaneously. I discuss the measurable
consequences of such a feat, and speculate about possible statistical tests
which could distinguish this view of quantum mechanics from a ``corpuscular''
one. Brief remarks are made about an experiment underway at Toronto to
investigate these issues.
| [
{
"version": "v1",
"created": "Tue, 21 Oct 1997 04:25:48 GMT"
},
{
"version": "v2",
"created": "Sun, 26 Oct 1997 19:56:44 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Steinberg",
"Aephraim M.",
"",
"Dept. of Physics, Univ. of Toronto"
]
] |
quant-ph/9710047 | Marc Jaekel | Marc-Thierry Jaekel (Laboratoire de Physique Th\'eorique de l'Ecole
Normale Sup\'erieure) and Serge Reynaud (Laboratoire Kastler-Brossel) | Vacuum fluctuations, accelerated motion and conformal frames | 7 pages | Quant.Semiclass.Opt. 7 (1995) 499 | 10.1088/1355-5111/7/4/007 | LPTENS 94/09 | quant-ph gr-qc | null | Radiation from a mirror moving in vacuum electromagnetic fields is shown to
vanish in the case of a uniformly accelerated motion. Such motions are related
to conformal coordinate transformations, which preserve correlation functions
characteristic of vacuum fluctuations. As a result, vacuum fluctuations remain
invariant under reflection upon a uniformly accelerated mirror, which therefore
does not radiate and experiences no radiation reaction force. Mechanical
effects of vacuum fluctuations thus exhibit an invariance with respect to
uniformly accelerated motions.
| [
{
"version": "v1",
"created": "Tue, 21 Oct 1997 09:35:52 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Jaekel",
"Marc-Thierry",
"",
"Laboratoire de Physique Théorique de l'Ecole\n Normale Supérieure"
],
[
"Reynaud",
"Serge",
"",
"Laboratoire Kastler-Brossel"
]
] |
quant-ph/9710048 | Diego Dalvit | Diego A. R. Dalvit and Francisco D. Mazzitelli | Renormalization Group Approach to the Dynamical Casimir Effect | 16 pages, RevTeX, 3 Postscript figures (uses epsf) | Phys.Rev.A57:2113-2119,1998 | 10.1103/PhysRevA.57.2113 | null | quant-ph hep-th | null | In this paper we study the one dimensional dynamical Casimir effect. We
consider a one dimensional cavity formed by two mirrors, one of which performs
an oscillatory motion with a frequency resonant with the cavity. The naive
solution, perturbative in powers of the amplitude, contains secular terms.
Therefore it is valid only in the short time limit. Using a renormalization
group technique to resum these terms, we obtain an improved analytical solution
which is valid for longer times. We discuss the generation of peaks in the
density energy profile and show that the total energy inside the cavity
increases exponentially.
| [
{
"version": "v1",
"created": "Tue, 21 Oct 1997 13:25:49 GMT"
}
] | 2011-07-19T00:00:00 | [
[
"Dalvit",
"Diego A. R.",
""
],
[
"Mazzitelli",
"Francisco D.",
""
]
] |
quant-ph/9710049 | Colin Wilkin | Goeran Faeldt and Colin Wilkin | Bound and Unbound Wave Functions at Short Distances | 13 pages, Latex | null | 10.1119/1.18987 | TSL/ISV-97-0188 | quant-ph | null | There exists a simple relationship between a quantum-mechanical bound-state
wave function and that of nearby scattering states, when the scattering energy
is extrapolated to that of the bound state. This relationship is demonstrated
numerically for the case of a spherical well potential and analytically for
this and other soluble potentials. Provided that the potential is of finite
range and that the binding is weak, the theorem gives a useful approximation
for the short-distance behaviour of the scattering wave functions. The
connection between bound and scattering-state perturbation theory is
established in this limit.
| [
{
"version": "v1",
"created": "Tue, 21 Oct 1997 15:51:43 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Faeldt",
"Goeran",
""
],
[
"Wilkin",
"Colin",
""
]
] |
quant-ph/9710050 | Alejandro Cabo | Luis Alberto del Pino and Hipolito Mena | Miller-Good Method for Symmetric Double Potential Wells | LaTeX, one table and one latex figure | null | null | null | quant-ph | null | The ground state energy of the quartic anharmonic oscillator is calculated by
employing the Miller-Good method. For this purpose an extension of the
procedure is developed, which is suitable for considering four turning points
situations. A criterion for the selection of the auxiliary quantum mechanical
problem is also advanced.
| [
{
"version": "v1",
"created": "Tue, 21 Oct 1997 23:34:28 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"del Pino",
"Luis Alberto",
""
],
[
"Mena",
"Hipolito",
""
]
] |
quant-ph/9710051 | Paul J. Freitas | Paul J. Freitas | Connections Between Special Relativity, Charge Conservation, and Quantum
Mechanics | 8 pages, REVTEX. Added comparison with Kaluza-Klein theories, other
minor revisions | null | null | null | quant-ph | null | Examination of the Einstein energy-momentum relationship suggests that simple
unbound forms of matter exist in a four-dimensional Euclidean space. Position,
momentum, velocity, and other vector quantities can be expressed as Euclidean
four-vectors, with the magnitude of the velocity vector having a constant
value, the speed of light. We see that charge may be simply a manifestation of
momentum in the new fourth direction, which implies that charge conservation is
a form of momentum conservation. The constancy of speed implies that all
elementary free particles can be described in the same manner as photons, by
means of a wave equation. The resulting wave mechanics (with a few small
assumptions) is simply the traditional form of quantum mechanics. If one begins
by assuming the wave nature of matter, it is shown that special relativistic
results follow simply. Thus we see evidence of a strong connection between
relativity and quantum mechanics. Comparisons between the theory presented here
and Kaluza-Klein theories reveal some similarities, but also many significant
differences between them.
| [
{
"version": "v1",
"created": "Tue, 21 Oct 1997 21:51:41 GMT"
},
{
"version": "v2",
"created": "Sat, 22 Nov 1997 00:41:05 GMT"
},
{
"version": "v3",
"created": "Wed, 25 Mar 1998 00:45:13 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Freitas",
"Paul J.",
""
]
] |
quant-ph/9710052 | Svozil Karl | Karl Svozil | The Church-Turing thesis as a guiding principle for physics | 15 pages, latex, no figures | Unconventional Models of Computation, ed. by Cristian S. Calude,
John Casti and Michael J. Dinneen (Springer, Singapore, 1998), pp. 371-385. | null | null | quant-ph | null | Two aspects of the physical side of the Church-Turing thesis are discussed.
The first issue is a variant of the Eleatic argument against motion, dealing
with Zeno squeezed time cycles of computers. The second argument reviews the
issue of one-to-one computation, that is, the bijective (unique and reversible)
evolution of computations and its relation to the measurement process.
| [
{
"version": "v1",
"created": "Wed, 22 Oct 1997 14:34:42 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Svozil",
"Karl",
""
]
] |
quant-ph/9710053 | Anupam Garg | Anupam Garg | Vibrational Decoherence in Ion Trap Quantum Computers | latex, 2 ps figures, 10 pages | Fortsch.Phys. 46 (1998) 749 | 10.1002/(SICI)1521-3978(199811)46:6/8<749::AID-PROP749>3.0.CO;2-I | null | quant-ph physics.atom-ph | null | The ion trap quantum computer proposed by Cirac and Zoller is analyzed for
decoherence due to vibrations of the ions. An adiabatic approximation
exploiting the vast difference between the frequencies of the optical
intraionic transition and the vibrational modes is used to find the decoherence
time at any temperature T. The scaling of this decoherence time with the number
of ions is discussed, and compared to that due to spontaneous emission.
| [
{
"version": "v1",
"created": "Wed, 22 Oct 1997 15:57:59 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Garg",
"Anupam",
""
]
] |
quant-ph/9710054 | Peter Hoyer | Harry Buhrman (CWI), Wim van Dam (CQC, CWI), Peter Hoyer (BRICS), and
Alain Tapp (IRO Montreal) | Multiparty Quantum Communication Complexity | 8 pages, LaTeX2e, no figures; new result and author added | Phys.Rev. A60 (1999) 2737-2741 | 10.1103/PhysRevA.60.2737 | null | quant-ph | null | Quantum entanglement cannot be used to achieve direct communication between
remote parties, but it can reduce the communication needed for some problems.
Let each of k parties hold some partial input data to some fixed k-variable
function f. The communication complexity of f is the minimum number of
classical bits required to be broadcasted for every party to know the value of
f on their inputs.
We construct a function G such that for the one-round communication model and
three parties, G can be computed with n+1 bits of communication when the
parties share prior entanglement. We then show that without entangled
particles, the one-round communication complexity of G is (3/2)n + 1. Next we
generalize this function to a function F. We show that if the parties share
prior quantum entanglement, then the communication complexity of F is exactly
k. We also show that if no entangled particles are provided, then the
communication complexity of F is roughly k*log(k).
These two results prove for the first time communication complexity
separations better than a constant number of bits.
| [
{
"version": "v1",
"created": "Wed, 22 Oct 1997 19:24:26 GMT"
},
{
"version": "v2",
"created": "Thu, 3 Jun 1999 15:35:11 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Buhrman",
"Harry",
"",
"CWI"
],
[
"van Dam",
"Wim",
"",
"CQC, CWI"
],
[
"Hoyer",
"Peter",
"",
"BRICS"
],
[
"Tapp",
"Alain",
"",
"IRO Montreal"
]
] |
quant-ph/9710055 | Paul Slater | Paul B. Slater (University of California, Santa Barbara) | Bures Metrics for Certain High-Dimensional Quantum Systems | 8 pages, LaTeX, 4 postscript figures, minor changes, to appear in
Physics Letters A | Phys.Lett. A244 (1998) 35-42 | 10.1016/S0375-9601(98)00319-3 | null | quant-ph | null | Hubner's formula for the Bures (statistical distance) metric is applied to
both a one-parameter and a two-parameter series (n=2,...,7) of sets of 2^n x
2^n density matrices. In the doubly-parameterized series, the sets are
comprised of the n-fold tensor products --- corresponding to n independent,
identical quantum systems --- of the 2 x 2 density matrices with real entries.
The Gaussian curvatures of the corresponding Bures metrics are found to be
constants (4/n). In the second series of 2^n x 2^n density matrices studied,
the singly-parameterized sets are formed --- following a study of Krattenthaler
and Slater --- by averaging with respect to a certain Gibbs distribution, the
n-fold tensor products of the 2 x 2 density matrices with complex entries. For
n = 100, we are also able to compute the Bures distance between two arbitrary
(not necessarily neighboring) density matrices in this particular series,
making use of the eigenvalue formulas of Krattenthaler and Slater, together
with the knowledge that the 2^n x 2^n density matrices in this series commute.
| [
{
"version": "v1",
"created": "Thu, 23 Oct 1997 17:30:14 GMT"
},
{
"version": "v2",
"created": "Fri, 27 Feb 1998 17:01:28 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Slater",
"Paul B.",
"",
"University of California, Santa Barbara"
]
] |
quant-ph/9710056 | Howard Wiseman | H. M. Wiseman (University of Queensland, Australia) | Adaptive single-shot phase measurements: The full quantum theory | 17 pages, LaTeX, 8 figures (concatenated), Submitted to Phys. Rev. A | null | 10.1103/PhysRevA.57.2169 | null | quant-ph | null | The phase of a single-mode field can be measured in a single-shot measurement
by interfering the field with an effectively classical local oscillator of
known phase. The standard technique is to have the local oscillator detuned
from the system (heterodyne detection) so that it is sometimes in phase and
sometimes in quadrature with the system over the course of the measurement.
This enables both quadratures of the system to be measured, from which the
phase can be estimated. One of us [H.M. Wiseman, Phys. Rev. Lett. 75, 4587
(1995)] has shown recently that it is possible to make a much better estimate
of the phase by using an adaptive technique in which a resonant local
oscillator has its phase adjusted by a feedback loop during the single-shot
measurement. In Ref.~[H.M. Wiseman and R.B. Killip, Phys. Rev. A 56, 944] we
presented a semiclassical analysis of a particular adaptive scheme, which
yielded asymptotic results for the phase variance of strong fields. In this
paper we present an exact quantum mechanical treatment. This is necessary for
calculating the phase variance for fields with small photon numbers, and also
for considering figures of merit other than the phase variance. Our results
show that an adaptive scheme is always superior to heterodyne detection as far
as the variance is concerned. However the tails of the probability distribution
are surprisingly high for this adaptive measurement, so that it does not always
result in a smaller probability of error in phase-based optical communication.
| [
{
"version": "v1",
"created": "Fri, 24 Oct 1997 01:54:03 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Wiseman",
"H. M.",
"",
"University of Queensland, Australia"
]
] |
quant-ph/9710057 | Paul Slater | Paul B. Slater (University of California, Santa Barbara) | Bayesian Thermostatistical Analyses of Two-Level Complex and
Quaternionic Systems | 6 pages, LaTeX, 6 postscript figures. This paper was submitted (in a
non-LaTeX form) for publication in Dec., 1995, but not accepted. I have
recast it into LaTeX for wider availability, primarily because it appears to
have anticipated the recently-presented "quantum canonical ensemble" of Brody
and Hughston (quant-ph/9709048) | null | null | null | quant-ph | null | The three and five-dimensional convex sets of two-level complex and
quaternionic quantum systems are studied in the Bayesian thermostatistical
framework introduced by Lavenda. Associated with a given parameterization of
each such set is a quantum Fisher (Helstrom) information matrix. The square
root of its determinant (adopting an ansatz of Harold Jeffreys) provides a
reparameterization-invariant prior measure over the set. Both such measures can
be properly normalized and their univariate marginal probability distributions
(which serve as structure functions) obtained. Gibbs (posterior) probability
distributions can then be found, using Poisson's integral representation of the
modified spherical Bessel functions. The square roots of the (classical) Fisher
information of these Gibbs distributions yield (unnormalized) priors over the
inverse temperature parameters.
| [
{
"version": "v1",
"created": "Fri, 24 Oct 1997 16:46:39 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Slater",
"Paul B.",
"",
"University of California, Santa Barbara"
]
] |
quant-ph/9710058 | Boris F. Samsonov | Boris F. Samsonov | Distortion of a Phase Space Under the Darboux Transformation | To be published in J. Math. Phys. 1998, v. 39, No 1 or No 2 | null | 10.1063/1.532364 | null | quant-ph | null | The Darboux transformation operator technique is applied to construct exactly
solvable anharmonic singular oscillator potentials and to study their coherent
states. Classical system corresponding to a transformed quantum system is
constructed with the help of the coherent states technique. It is shown that at
classical level the Darboux transformation may be treated as a transformation
of K\"ahler potential which leads to a distortion of the initial phase space.
| [
{
"version": "v1",
"created": "Sat, 25 Oct 1997 09:37:48 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Samsonov",
"Boris F.",
""
]
] |
quant-ph/9710059 | Jeong-Young Ji | Jeong-Young Ji, Kwang-Sup Soh, Rong-Gen Cai (S.N.U.), Sang Pyo Kim
(Kunsan N.U.) | Electromagnetic fields in a 3D cavity and in a waveguide with
oscillating walls | 8 pages revTeX including 1 eps fig | J.Phys. A31 (1998) L457-L462 | 10.1088/0305-4470/31/24/003 | SNUTP 97-145 | quant-ph hep-th | null | We consider classical and quantum electromagnetic fields in a
three-dimensional (3D) cavity and in a waveguide with oscillating boundaries of
the frequency $\Omega $. The photons created by the parametric resonance are
distributed in the wave number space around $\Omega/2 $ along the axis of the
oscillation. When classical waves propagate along the waveguide in the one
direction, we observe the amplification of the original waves and another wave
generation in the opposite direction by the oscillation of side walls. This can
be understood as the classical counterpart of the photon production. In the
case of two opposite walls oscillating with the same frequency but with a phase
difference, the interferences are shown to occur due to the phase difference in
the photon numbers and in the intensity of the generated waves.
| [
{
"version": "v1",
"created": "Mon, 27 Oct 1997 07:29:27 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Ji",
"Jeong-Young",
"",
"S.N.U."
],
[
"Soh",
"Kwang-Sup",
"",
"S.N.U."
],
[
"Cai",
"Rong-Gen",
"",
"S.N.U."
],
[
"Kim",
"Sang Pyo",
"",
"Kunsan N.U."
]
] |
quant-ph/9710060 | Lewenstein | Pascal Sali\`eres, Anne L'Huillier, Philippe Antoine and Maciej
Lewenstein | Study of the spatial and temporal coherence of high order harmonics | Latex file with 37 pages, 25 postscript figures. to appear in
Advances in Atomic, Molecular and Optical Physics | null | null | null | quant-ph | null | We apply the theory of high-order harmonic generation by low-frequency laser
fields in the strong field approximation to the study of the spatial and
temporal coherence properties of the harmonics. We discuss the role of
dynamically induced phases of the atomic polarization in determining the
optimal phase matching conditions and angular distributions of harmonics. We
demonstrate that the phase matching and the spatial coherence can be controlled
by changing the focusing parameters of the fundamental laser beam. Then we
present a detailed study of the temporal and spectral properties of harmonics.
We discuss how the focusing conditions influence the individual harmonic
spectra and time profiles, and how the intensity dependence of the dynamically
induced phase leads to a chirp of the harmonic frequency. This phase modulation
can be used to control the temporal and spectral properties of the harmonic
radiation. Temporally, the harmonic chirped pulse can be recompressed to very
small durations. Spectrally, chirping of the fundamental beam may be employed
to compensate for the dynamically induced chirp and to control the individual
harmonic spectrum. Finally, we discuss the short pulse effects, in particular
nonadiabatic phenomena and the possibility of generating attosecond pulses.
| [
{
"version": "v1",
"created": "Mon, 27 Oct 1997 16:18:08 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Salières",
"Pascal",
""
],
[
"L'Huillier",
"Anne",
""
],
[
"Antoine",
"Philippe",
""
],
[
"Lewenstein",
"Maciej",
""
]
] |
quant-ph/9710061 | Alpan Raval | B. L. Hu and Alpan Raval | Coherence and Fluctuations in the Interaction between Moving Atoms and a
Quantum Field | 12 pages, Latex | null | null | null | quant-ph | null | Mesoscopic physics deals with three fundamental issues: quantum coherence,
fluctuations and correlations. Here we analyze these issues for atom optics,
using a simplified model of an assembly of atoms (or detectors, which are
particles with some internal degree of freedom) moving in arbitrary
trajectories in a quantum field. Employing the influence functional formalism,
we study the self-consistent effect of the field on the atoms, and their mutual
interactions via coupling to the field. We derive the coupled Langevin
equations for the atom assemblage and analyze the relation of dissipative
dynamics of the atoms with the correlation and fluctuations of the quantum
field. This provides a useful theoretical framework for analysing the coherent
properties of atom-field systems.
| [
{
"version": "v1",
"created": "Mon, 27 Oct 1997 19:57:02 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Hu",
"B. L.",
""
],
[
"Raval",
"Alpan",
""
]
] |
quant-ph/9710062 | Young S. Kim | Y. S. Kim | Does Lorentz Boost Destroy Coherence? | RevTex 12 pages, no figures; presented at the Workshop on Fundamental
Problems in Quantum Theory, Baltimore, Maryland, (August 1997); to be
published in the Proceedings | null | 10.1002/(SICI)1521-3978(199811)46:6/8<713::AID-PROP713>3.0.CO;2-H | null | quant-ph hep-ph hep-th | null | It is shown that the time-energy uncertainty relation can be combined into
the position-momentum uncertainty relation covariantly in the quark model of
hadrons. This leads to a Lorentz-invariant form of the uncertainty relations.
This model explains that the quark model and the parton model are two different
manifestations of the same covariant model. In particular, this covariant model
explains why the coherent amplitudes in the quark model become incoherent,
after a Lorentz boost, in the parton model. It is shown that this lack of
coherence is consistent with the present form of quantum mechanics.
| [
{
"version": "v1",
"created": "Tue, 28 Oct 1997 16:46:47 GMT"
}
] | 2016-10-26T00:00:00 | [
[
"Kim",
"Y. S.",
""
]
] |
quant-ph/9710063 | Hans Thomas Elze | Hans-Thomas Elze | Open Quantum Systems, Entropy and Chaos | 22 pages including 4 figures; LaTex uses epsf and sprocl.sty file. -
Invited talk, 5th Rio de Janeiro International Workshop on Relativistic
Aspects of Nuclear Physics, August 1997; proceedings to be publ., T. Kodama
et al., eds. (World Scientific) | null | null | null | quant-ph hep-ph nucl-th | null | Entropy generation in quantum sytems is tied to the existence of a
nonclassical environment (heat bath or other) with which the system interacts.
The continuous `measuring' of the open system by its environment induces
decoherence of its wave function and entropy increase. Examples of
nonrelativistic quantum Brownian motion and of interacting scalar fields
illustrate these general concepts. It is shown that the Hartree-Fock
approximation around the bare classical limit can lead to spurious semiquantum
chaos, which may affect the determination of entropy production and
thermalization also in other cases.
| [
{
"version": "v1",
"created": "Thu, 30 Oct 1997 17:53:25 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Elze",
"Hans-Thomas",
""
]
] |
quant-ph/9710064 | Shinya Wada | Hideaki Aoyama, Hisashi Kikuchi, Ikuo Okouchi, Masatoshi Sato and
Shinya Wada | Valleys in Quantum Mechanics | 13 pages, 4 eps figures, LaTeX, gzipped tar file | Phys.Lett. B424 (1998) 93-100 | 10.1016/S0370-2693(98)00116-6 | KUCP-0110, OHU-9710, UT-790 | quant-ph hep-th | null | Conventionally, perturbative and non-perturbative calculations are performed
independently. In this paper, valleys in the configuration space in quantum
mechanics are investigated as a way to treat them in a unified manner. All the
known results of the interplay of them are reproduced naturally. The
prescription for separating the non-perturbative contribution from the
perturbative is given in terms of the analytic continuation of the valley
parameter. Our method is illustrated on a new series of examples with the
asymmetric double-well potential. We obtain the non-perturbative part
explicitly, which leads to the prediction of the large order behavior of the
perturbative series. We calculate the first 200 perturbative coefficients for a
wide range of parameters and confirm the agreement with the prediction of the
valley method.
| [
{
"version": "v1",
"created": "Fri, 31 Oct 1997 06:40:01 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Aoyama",
"Hideaki",
""
],
[
"Kikuchi",
"Hisashi",
""
],
[
"Okouchi",
"Ikuo",
""
],
[
"Sato",
"Masatoshi",
""
],
[
"Wada",
"Shinya",
""
]
] |
quant-ph/9711001 | B. P. Mandal | Avinash Khare and Bhabani Prasad Mandal | Anti-isospectral Transformations, Orthogonal Polynomials and
Quasi-Exactly Solvable Problems | Revtex, 19 pages, No figure | J.Math.Phys. 39 (1998) 3476-3486 | 10.1063/1.532442 | IP-BBSR/97-42 | quant-ph hep-th math-ph math.MP | null | We consider the double sinh-Gordon potential which is a quasi-exactly
solvable problem and show that in this case one has two sets of Bender-Dunne
orthogonal polynomials . We study in some detail the various properties of
these polynomials and the corresponding quotient polynomials. In particular, we
show that the weight functions for these polynomials are not always positive.
We also study the orthogonal polynomials of the double sine-Gordon potential
which is related to the double sinh-Gordon case by an anti-isospectral
transformation. Finally we discover a new quasi-exactly solvable problem by
making use of the anti-isospectral transformation.
| [
{
"version": "v1",
"created": "Sat, 1 Nov 1997 07:37:00 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Khare",
"Avinash",
""
],
[
"Mandal",
"Bhabani Prasad",
""
]
] |
quant-ph/9711002 | Jeong-Young Ji | Jeong-Young Ji, Kwang-Sup Soh (S.N.U.) | Parametrically amplified radiation in a cavity with an oscillating wall | 11 pages, RevTeX, no figures, Proceedings of 5th Korean-Italian
Symposium on Relativistic Astrophysics | J.KoreanPhys.Soc.33:S490-S494,1998 | null | SNUTP 97-148 | quant-ph | null | We introduce a time-dependent perturbation method to calculate the number of
created particles in a 1D cavity with an oscillating wall of the frequency
$\Omega . $ This method makes it easy to find the dominant part of the solution
which results from the parametric resonance. The maximal number of particles
are created at the mode frequency $\Omega/2 . $ Using the Floquet theory, we
discuss the long-time behavior of the particle creation.
| [
{
"version": "v1",
"created": "Tue, 4 Nov 1997 04:44:30 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Ji",
"Jeong-Young",
"",
"S.N.U."
],
[
"Soh",
"Kwang-Sup",
"",
"S.N.U."
]
] |
quant-ph/9711003 | Asher Peres | Asher Peres | Interpreting the Quantum World | 11 pages LaTeX. To appear in "Studies in History and Philosophy of
Science" | Stud. History Philos. Modern Physics 29 (1998) 611 | null | null | quant-ph | null | This is an "Essay-Review" of a book with the same title, by Jeffrey Bub
(Cambridge University Press, 1997).
| [
{
"version": "v1",
"created": "Wed, 5 Nov 1997 12:18:43 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Peres",
"Asher",
""
]
] |
quant-ph/9711004 | Plamen Fiziev | A. Petrov | Two-Structure Framework for Hamiltonian Dynamical Systems | 12 pages, latex, no figures | null | null | null | quant-ph hep-th | null | The Lie product and the order relation are viewed as defining structures for
Hamiltonian dynamical systems. Their admissible combinations are singled out by
the requirement that the group of the Lie automorphisms be contained in the
group of the order automorphisms (Lie algebras with invariant cones). Taking
advantage of the reciprocal independence of the relevant structures, the
inclusion relation between the two automorphism groups can be reversed; a
procedure which leads to an entirely new formal language (ordered linear spaces
with invariant Lie products). Presumably it offers an alternative description
for quantum systems, radically different from the conventional algebraic
models.
| [
{
"version": "v1",
"created": "Wed, 5 Nov 1997 18:01:29 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Petrov",
"A.",
""
]
] |
quant-ph/9711005 | null | B. Carazza (Dip. di Fisica, Parma, Italy) | On the Spatial Density Matrix for the Centre of Mass of a one
dimensional Perfect Gas | 11 pages, Latex, no figures. To appear on Foundations of Physics
Letters | Found.Phys.Lett.10:581-590,1997 | 10.1023/A:1022449319701 | null | quant-ph | null | We examine the reduced density matrix of the centre of mass on position basis
considering a one-dimensional system of $N$ non-interacting distinguishable
particles in a infinitely deep square potential well. We find a class of pure
states of the system for which the off-diagonal elements of the matrix above go
to zero as $N$ increases. This property holds too for the state vectors which
are factorized in the single particle wave functions. In this last case, if the
average energy of each particle is less than a common bound, the diagonal
elements are distributed according to the normal law with a mean square
deviation which becomes smaller and smaller as $N$ increases towards infinity.
Therefore when the state vectors are of the type considered we cannot
experience spatial superpositions of the centre of mass and we may conclude
that position is a preferred basis for the collective variable.
| [
{
"version": "v1",
"created": "Thu, 6 Nov 1997 17:51:37 GMT"
},
{
"version": "v2",
"created": "Fri, 7 Nov 1997 16:00:07 GMT"
}
] | 2011-08-04T00:00:00 | [
[
"Carazza",
"B.",
"",
"Dip. di Fisica, Parma, Italy"
]
] |
quant-ph/9711006 | Masanao Ozawa | Masanao Ozawa (Nagoya University) | Quantum State Reduction: An Operational Approach | 12 pages, LaTeX, no figures, Fundamental problems in quantum theory
workshop (August 1997, Baltimore), invited lecture | Fortschr.Phys.46:615,1998 | 10.1002/(SICI)1521-3978(199811)46:6/8<615::AID-PROP615>3.0.CO;2-D | null | quant-ph | null | A rigorous theory of quantum state reduction, the state change of the
measured system caused by a measurement conditional upon the outcome of
measurement, is developed fully within quantum mechanics without leading to the
vicious circle relative to the von Neumann chain. For the basis of the theory,
the local measurement theorem provides the joint probability distribution for
the outcomes of local successive measurements on a noninteracting entangled
system without assuming the projection postulate, and the quantum Bayes
principle enables us to determine operationally the quantum state from a given
information on the outcome of measurement.
| [
{
"version": "v1",
"created": "Fri, 7 Nov 1997 11:41:59 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Ozawa",
"Masanao",
"",
"Nagoya University"
]
] |
quant-ph/9711007 | null | Maurice Kibler | Symmetries in nuclear, atomic and molecular spectroscopy | 31 pages, Latex file. Lecture presented at the fifth Rhodanian
Seminar in Physics `Symmetries in Physics' held at Dolomieu (France, 17-21
March 1997) | null | null | null | quant-ph cond-mat math-ph math.MP nucl-th physics.atm-clus physics.atom-ph physics.chem-ph | null | This paper addresses the three following questions. (i) How the structures of
group and of chain of groups enter nuclear, atomic and molecular spectroscopy?
(ii) How these structures can be exploited, in a quantum- mechanical framework,
in the problems of state labelling and (external) symmetry breaking? (iii) How
it is possible to associate a Wigner-Racah algebra to a group or a chain of
groups for making easier the calculation of quantum-mechanical matrix elements?
Numerous examples illustrate the philosophy of qualitative and quantitative
applications to spectroscopy.
| [
{
"version": "v1",
"created": "Sat, 8 Nov 1997 11:56:39 GMT"
}
] | 2016-09-08T00:00:00 | [
[
"Kibler",
"Maurice",
""
]
] |
quant-ph/9711008 | null | Keiji matsumoto | A new approach to the Cramer-Rao type bound of the pure state model | LaTeX, 40 pages | J.Phys.A35:3111-3124,2002 | 10.1088/0305-4470/35/13/307 | null | quant-ph | null | In this paper, new methodology -- direct approach -- for the determination of
the attainable CR type bound of the pure state model, is proposed and
successfully applied to the wide variety of pure state models, for example, the
2-dimensional arbitrary model, the coherent model with arbitrary dimension.
When the weight matrix is $SLD$ Fisher information, the bound is determined for
arbitrary pure state models. Manifestation of complex structure in the
Cramer-Rao type bound is also discussed.
| [
{
"version": "v1",
"created": "Sat, 8 Nov 1997 14:02:21 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"matsumoto",
"Keiji",
""
]
] |
quant-ph/9711009 | M. W. Allen | Rob Clifton (Department of Philosophy, University of Pittsburgh) | Beables in Algebraic Quantum Mechanics | 34 pages, LaTeX, Forthcoming in H. Brown, J. Butterfield and C.
Pagonis (eds.), 'From Physics to Philosophy: Essays in Honour of Michael
Redhead', Cambridge University Press | null | null | null | quant-ph | null | John Bell once argued that one ought to select, out of the 'observables' of
quantum theory, some subset of 'beables' that can be consistently ascribed
determinate values. Moreover, this subset should be selected so as to guarantee
(among other things) that we can dispense with the orthodox interpretation's
loose talk about 'measurement values': "...the probability of a beable being a
particular value would be calculated just as was formerly calculated the
probability of observing that value". Working in the framework of C*-algebras
(in particular, Segal algebras), I propose an algebraic characterization of
those subsets of bounded observables of a quantum system that can have beable
status with respect to any (fixed) state of the system. It turns out that
observables with beable status in a state need not all commute (a possibility
Bell himself does not consider), but they must at least form a certain kind of
'quasicommutative' subalgebra determined by the state. A virtue of the analysis
is that it applies to beables with continuous spectra, usually neglected in
discussions of the no-hidden-variables theorems. In the (very) special case
where the algebra of observables for a system is representable on a
finite-dimensional Hilbert space, I give a complete characterization of the
maximal beable subalgebras determined by any state of the system; the
infinite-dimensional case remains open. These results are discussed in relation
to previous results of a similar nature, to 'no-collapse' interpretations of
quantum mechanics, and to algebraic relativistic quantum field theory.
| [
{
"version": "v1",
"created": "Sun, 9 Nov 1997 09:38:08 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Clifton",
"Rob",
"",
"Department of Philosophy, University of Pittsburgh"
]
] |
quant-ph/9711010 | Paul Slater | Paul B. Slater (University of California, Santa Barbara) | Volume Elements of Monotone Metrics on the n x n Density Matrices as
Densities-of-States for Thermodynamic Purposes. I | 13 pages, LaTeX. We retitle and slightly modify the paper. For Part
II (the cases of spin-1 and spin-3/2 particles), see quant-ph/9802019 | null | null | null | quant-ph | null | Among the monotone metrics on the (n^{2} - 1)-dimensional convex set of n x n
density matrices, as Petz and Sudar have recently elaborated, there are a
minimal (Bures) and a maximal one. We examine the proposition that it is
physically meaningful to treat the volume elements of these metrics as
densities-of-states for thermodynamic purposes. In the n = 2 (spin-1/2) case,
use of the maximal monotone metric, in fact, does lead to the adoption of the
Langevin (and not the Brillouin) functions, thus, completely conforming with a
recent probabilistic argument of Lavenda. Brody and Hughston also arrived at
the Langevin function in an analysis based on the Fubini-Study metric. It is a
matter of some interest, however, that in the first (subsequently modified)
version of their paper, they had reported a different result, one fully
consistent with the alternative use of the minimal monotone metric. In this
part I of our investigation, we first study scenarios involving partially
entangled spin-1/2 particles (n = 4, 6,...) and then a certain three-level
extension of the two-level systems. In part II, we examine, in full generality,
and with some limited analytical success, the cases n = 3 and 4.
| [
{
"version": "v1",
"created": "Mon, 10 Nov 1997 19:00:10 GMT"
},
{
"version": "v2",
"created": "Tue, 11 Nov 1997 23:27:37 GMT"
},
{
"version": "v3",
"created": "Wed, 12 Nov 1997 18:36:39 GMT"
},
{
"version": "v4",
"created": "Thu, 11 Dec 1997 22:45:32 GMT"
},
{
"version": "v5",
"created": "Wed, 17 Dec 1997 00:15:35 GMT"
},
{
"version": "v6",
"created": "Fri, 19 Dec 1997 00:34:28 GMT"
},
{
"version": "v7",
"created": "Mon, 20 Apr 1998 15:42:40 GMT"
},
{
"version": "v8",
"created": "Mon, 11 May 1998 16:51:13 GMT"
},
{
"version": "v9",
"created": "Mon, 7 Dec 1998 21:49:56 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Slater",
"Paul B.",
"",
"University of California, Santa Barbara"
]
] |
quant-ph/9711011 | Karol Zyczkowski | Karol Zyczkowski and Wojciech Slomczynski (Krakow, Poland) | Monge Distance between Quantum States | 9 pages in LaTex - RevTex + 2 figures in ps. submitted to Phys. Rev.
A | J.Phys.A31:9095-9104,1998 | 10.1088/0305-4470/31/45/009 | null | quant-ph | null | We define a metric in the space of quantum states taking the Monge distance
between corresponding Husimi distributions (Q--functions). This quantity
fulfills the axioms of a metric and satisfies the following semiclassical
property: the distance between two coherent states is equal to the Euclidean
distance between corresponding points in the classical phase space. We compute
analytically distances between certain states (coherent, squeezed, Fock and
thermal) and discuss a scheme for numerical computation of Monge distance for
two arbitrary quantum states.
| [
{
"version": "v1",
"created": "Tue, 11 Nov 1997 23:23:08 GMT"
}
] | 2016-09-08T00:00:00 | [
[
"Zyczkowski",
"Karol",
"",
"Krakow, Poland"
],
[
"Slomczynski",
"Wojciech",
"",
"Krakow, Poland"
]
] |
quant-ph/9711012 | Claus Kiefer | C. Kiefer | Wigner function and decoherence | 3 pages, LATEX, contribution to Wigner Symposium | null | null | Freiburg THEP-97/26 | quant-ph | null | I briefly review the role of the Wigner function in the study of the
quantum-to-classical transition through interaction with the environment
(decoherence).
| [
{
"version": "v1",
"created": "Wed, 12 Nov 1997 13:42:43 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Kiefer",
"C.",
""
]
] |
quant-ph/9711013 | Emily Kracklauer | A. F. Kracklauer | Pilot Wave Steerage: A Mechanism and Test | Final version; 14 pages LaTeX with 2 eps figures | Found. Phys. Lett. 12(5) 441-453 (1999) | null | null | quant-ph | null | An intuitive, generic, physical model, or conceptual paradigm for pilot wave
steerage of particle beams based on Stochastic Electrodynamics is presented.
The utility of this model for understanding the Pauli Exclusion Principle is
briefly considered, and a possible experimental verification for the underlying
concepts is proposed. \\[7mm] Key words: Quantum Mechanics, Pilot Wave, Pauli
Exclusion Principle, Stochastic Electrodynamics
| [
{
"version": "v1",
"created": "Wed, 12 Nov 1997 17:46:01 GMT"
},
{
"version": "v2",
"created": "Tue, 13 Oct 1998 02:49:22 GMT"
},
{
"version": "v3",
"created": "Sat, 26 Aug 2000 07:27:22 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Kracklauer",
"A. F.",
""
]
] |
quant-ph/9711014 | Michael Martin Nieto | Michael Martin Nieto and D. Rodney Truax | Reply to Comment on ``Generating Functions for Hermite Polynomials of
Arbitrary Order" | 2 pages, LaTeX, to be published in Phys. Lett. A | Phys.Lett. A237 (1998) 192-193 | 10.1016/S0375-9601(97)00854-2 | LA-UR-97-4315 | quant-ph | null | The results in the preceding comment are placed on a more general
mathematical foundation.
| [
{
"version": "v1",
"created": "Wed, 12 Nov 1997 23:48:04 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Nieto",
"Michael Martin",
""
],
[
"Truax",
"D. Rodney",
""
]
] |
quant-ph/9711015 | Michael Martin Nieto | Michael Martin Nieto | Towards Even and Odd Squeezed Number States | 3 pages, LaTeX, to be published in the Proceedings of the Fifth
International Wigner Symposium | null | null | LA-UR-97-4318 | quant-ph | null | The time evolution of even and odd squeezed states, as well as that of
squeezed number states, has been given in simple, analytic form. This follows
experimental work on trapped ions which has demonstrated even and odd coherent
states, number states, and squeezed (but not displaced) ground states. We
review this situation and consider the extension to even and odd squeezed
number states. Questions of uncertainty relations are also discussed.
| [
{
"version": "v1",
"created": "Thu, 13 Nov 1997 03:10:51 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Nieto",
"Michael Martin",
""
]
] |
quant-ph/9711016 | N. Linden | N Linden and S Popescu | On multi-particle entanglement | 16 pages, LaTeX | Fortsch.Phys. 46 (1998) 567-578 | 10.1002/(SICI)1521-3978(199806)46:4/5<567::AID-PROP567>3.0.CO;2-H | Newton Institute NI97036 | quant-ph | null | We build, using group-theoretic methods, a general framework for approaching
multi-particle entanglement. As far as entanglement is concerned, two states of
n spin-1/2 particles are equivalent if they are on the same orbit of the group
of local rotations (U(2)^n). We give a method for finding the number of
parameters needed to describe inequivalent n spin-1/2 particles states. We also
describe how entanglement of states on a given orbit may be characterized by
the stability group of the action of the group of local rotations on any point
on the orbit.
| [
{
"version": "v1",
"created": "Thu, 13 Nov 1997 21:38:26 GMT"
}
] | 2016-10-26T00:00:00 | [
[
"Linden",
"N",
""
],
[
"Popescu",
"S",
""
]
] |
quant-ph/9711017 | Kurt Jacobs | K. Jacobs | A Model for the Production of Regular Fluorescent Light from Coherently
Driven Atoms | 6 pages multicol revtex, including figures | J.Mod.Opt. 44 (1997) 1475 | 10.1080/09500349708230751 | null | quant-ph | null | It has been shown in recent years that incoherent pumping through multiple
atomic levels provides a mechanism for the production of highly anti-bunched
light, and that as the number of incoherent steps is increased the light
becomes increasingly regular. We show that in a resonance fluorescence
situation, a multi-level atom may be multiply coherently driven so that the
fluorescent light is highly anti-bunched. We show that as the number of
coherently driven levels is increased, the spontaneous emissions may be made
increasingly more regular. We present a systematic method for designing the
level structure and driving required to produce highly anti-bunched light in
this manner for an arbitrary even number of levels.
| [
{
"version": "v1",
"created": "Fri, 14 Nov 1997 20:05:09 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Jacobs",
"K.",
""
]
] |
quant-ph/9711018 | Bengt Nagel | Bengt Nagel (Royal Institute of Technology, Stockholm, Sweden) | Spectra and generalized eigenfunctions of the one- and two-mode
squeezing operators in quantum optics | This is a reproduction, with minor corrections and an added Appendix,
of a paper published in J. Bertrand et al.(Eds.), Modern Group Theoretical
Methods in Physics, Kluwer Academic Publishers 1995. 13 p | null | null | null | quant-ph | null | The spectra and generalized eigenfunctions of the hyperbolic and parabolic
generators of the standard representation of SU(1,1) in the one-mode boson
Hilbert space are derived. The eigenfunctions are given in three different
forms, corresponding to the coordinate, photon number, and Fock-Bargmann
representations of the state vectors. The possible spectra of general second
degree Hamiltonians are determined. Some corresponding results in the two-mode
case are also given. - In the Appendix we prove completeness and orthonormality
relations for the polynomials giving the number representation expansion
coefficients of the generalized eigenfunctions of the hyperbolic generator (=
squeezing generator). These polynomials are special cases of Pollaczek
polynomials.
| [
{
"version": "v1",
"created": "Fri, 14 Nov 1997 09:43:09 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Nagel",
"Bengt",
"",
"Royal Institute of Technology, Stockholm, Sweden"
]
] |
quant-ph/9711019 | Buttiker | M. Buttiker and H. Thomas | Front Propagation in Evanescent Media | null | Superlattices Microstruct. 23 (1998) 781 | 10.1006/spmi.1997.0540 | null | quant-ph cond-mat.mes-hall | null | We investigate the time evolution of waves in evanescent media generated by a
source within this medium and observed at some distance away from the location
of the source. The aim is to find a velocity which describes a causal process
and is thus, for a medium with relativistic dispersion, limited by the velocity
of light. The wave function consists of a broad frequency forerunner generated
by the onset of the source, and of a monochromatic front which carries the
oscillation frequency of the source. For a medium with Schr\"{o}dinger-like
dispersion the monochromatic front propagates with a velocity which is in
agreement with the traversal time, and in the relativistic case the velocity of
the fronts is limited by the velocity of light. For sources with a sharp onset,
the forerunners are not attenuated and in magnitude far exceed the
monochromatic front. In contrast, for sources which are frequency-band limited,
the forerunners are also attenuated and become comparable to the monochromatic
front: like in the propagating case, there exists a time at which a broad
frequency forerunner is augmented by a monochromatic wave.
| [
{
"version": "v1",
"created": "Fri, 14 Nov 1997 15:31:58 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Buttiker",
"M.",
""
],
[
"Thomas",
"H.",
""
]
] |
quant-ph/9711020 | Robert Clifton | Rob Clifton (Philosophy, Pittsburgh), David V. Feldman (Mathematics &
Statistics, New Hampshire), Michael L. G. Redhead (History & Philosophy of
Science, Cambridge) and Alexander Wilce (Mathematics & Computer Science,
Juniata College) | Hyperentangled States | 23 pages, LaTeX, Submitted to Physical Review A | null | 10.1103/PhysRevA.58.135 | null | quant-ph | null | We investigate a new class of entangled states, which we call
'hyperentangled',that have EPR correlations identical to those in the vacuum
state of a relativistic quantum field. We show that whenever hyperentangled
states exist in any quantum theory, they are dense in its state space. We also
give prescriptions for constructing hyperentangled states that involve an
arbitrarily large collection of systems.
| [
{
"version": "v1",
"created": "Fri, 14 Nov 1997 16:26:03 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Clifton",
"Rob",
"",
"Philosophy, Pittsburgh"
],
[
"Feldman",
"David V.",
"",
"Mathematics &\n Statistics, New Hampshire"
],
[
"Redhead",
"Michael L. G.",
"",
"History & Philosophy of\n Science, Cambridge"
],
[
"Wilce",
"Alexander",
"",
"Mathematics & Computer Science,\n Juniata College"
]
] |
quant-ph/9711021 | Seth Lloyd | Seth Lloyd, Jean-Jacques E. Slotine | Analog quantum error correction | Ten pages, TeX | Phys.Rev.Lett. 80 (1998) 4088-4091 | 10.1103/PhysRevLett.80.4088 | null | quant-ph | null | Quantum error-correction routines are developed for continuous quantum
variables such as position and momentum. The result of such analog quantum
error correction is the construction of composite continuous quantum variables
that are largely immune to the effects of noise and decoherence.
| [
{
"version": "v1",
"created": "Sat, 15 Nov 1997 20:41:19 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Lloyd",
"Seth",
""
],
[
"Slotine",
"Jean-Jacques E.",
""
]
] |
quant-ph/9711022 | Antoine Suarez | Antoine Suarez (Center for Quantum Philosophy, Zurich) | Relativistic nonlocality (RNL) in experiments with moving polarizers and
2 non-before impacts | 6 pages of Latex and 1 eps figure. To appear in Phys. Lett. A | Phys.Lett. A236 (1997) 383-390 | 10.1016/S0375-9601(97)00804-9 | null | quant-ph | null | Relativistic nonlocality (RNL) is a recently proposed relativistic nonlocal
description which unifies relativity of simultaneity and superluminal
nonlocality (without superluminal signaling). In this article RNL is applied to
experiments with so-called 2 non-before impacts, leading to new rules of
calculating the joint probabilities, and predictions conflicting with quantum
mechanics. A real experiment using fast moving polarizing beam-splitters is
proposed.
| [
{
"version": "v1",
"created": "Sun, 16 Nov 1997 11:16:51 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Suarez",
"Antoine",
"",
"Center for Quantum Philosophy, Zurich"
]
] |
quant-ph/9711023 | Adrian Kent | Adrian Kent | Unconditionally Secure Quantum Bit Commitment | This paper was withdrawn on 19.11.97. The protocol described does not
evade the no-go results of Mayers, Lo and Chau, to whom I am most grateful
for helpful correspondences | null | null | DAMTP/97-122 | quant-ph | null | This paper has been withdrawn: it does not evade the no-go results of Mayers,
Lo and Chau, to whom I am most grateful for helpful correspondences.
| [
{
"version": "v1",
"created": "Mon, 17 Nov 1997 20:04:35 GMT"
},
{
"version": "v2",
"created": "Wed, 19 Nov 1997 23:58:11 GMT"
},
{
"version": "v3",
"created": "Thu, 20 Nov 1997 19:38:53 GMT"
},
{
"version": "v4",
"created": "Fri, 21 Nov 1997 22:59:54 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Kent",
"Adrian",
""
]
] |
quant-ph/9711024 | Adrian Kent | Adrian Kent | Unconditionally Secure Multi-Party Computation | Withdrawn on 20.11.97 | null | null | null | quant-ph | null | This paper was withdrawn on 20.11.97.
| [
{
"version": "v1",
"created": "Sun, 16 Nov 1997 17:56:28 GMT"
},
{
"version": "v2",
"created": "Thu, 20 Nov 1997 19:43:23 GMT"
},
{
"version": "v3",
"created": "Mon, 28 Feb 2005 20:42:39 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Kent",
"Adrian",
""
]
] |
quant-ph/9711025 | Adrian Kent | Adrian Kent | Unconditionally Secure All-Or-Nothing Disclosure of Secrets | Withdrawn on 20.11.97 | null | null | null | quant-ph | null | This paper was withdrawn on 20.11.97.
| [
{
"version": "v1",
"created": "Sun, 16 Nov 1997 18:46:07 GMT"
},
{
"version": "v2",
"created": "Thu, 20 Nov 1997 20:38:48 GMT"
},
{
"version": "v3",
"created": "Mon, 28 Feb 2005 20:43:23 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Kent",
"Adrian",
""
]
] |
quant-ph/9711026 | Adrian Kent | Adrian Kent | Secure Multi-Party Addition via Quantum States | Withdrawn on 20.11.97 | null | null | null | quant-ph | null | This paper was withdrawn on 20.11.97.
| [
{
"version": "v1",
"created": "Mon, 17 Nov 1997 02:19:45 GMT"
},
{
"version": "v2",
"created": "Thu, 20 Nov 1997 19:49:00 GMT"
},
{
"version": "v3",
"created": "Mon, 28 Feb 2005 20:44:03 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Kent",
"Adrian",
""
]
] |
quant-ph/9711027 | null | Keiji matsumoto | Uhlmann's parallelism in quantum estimation theory | null | null | null | null | quant-ph | null | Two important classes of the quantum statistical model, the locally
quasi-classical model and the quasi-classical model, are introduced from the
estimation theoretical viewpoint, and they are characterized geometrically by
the vanishing conditions of the relative phase factor (RPF), implying the close
tie between Uhlmann parallel transport and the quantum estimation theory.
| [
{
"version": "v1",
"created": "Mon, 17 Nov 1997 09:39:59 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"matsumoto",
"Keiji",
""
]
] |
quant-ph/9711028 | Bengt Nagel | Bengt Nagel (Royal Institute of Technology, Stockholm, Sweden) | Higher power squeezed states, Jacobi matrices, and the Hamburger moment
problem | 8 p. LaTex. Corrections in eqns (5) and (7) | null | null | null | quant-ph | null | k:th power (amplitude-)squeezed states are defined as the normalized states
giving equality in the Schroedinger-Robertson uncertainty relation for the real
and imaginary parts of the k:th power of the one-mode annihilation operator.
Equivalently they are the set of normalized eigenstates (for all possible
complex eigenvalues) of the Bogolubov transformed "k:th power annihilation
operators". Expressed in the number representation the eigenvalue equation
leads to a three term recursion relation for the expansion coefficients, which
can be explicitly solved in the cases k = 1, 2. The solutions are essentially
Hermite and Pollaczek polynomials, respectively. k = 1 gives the ordinary
squeezed states, i.e. displaced squeezed vacua. For k equal to or larger than
three, where no explicit solution has been found, the recursion relation for
the symmetric operator given by the real part of the k:th power of the
annihilation operator defines a Jacobi matrix corresponding to a classical
Hamburger moment problem, which is undetermined. This implies that the operator
has an infinity of self-adjoint extensions, all with disjoint discrete spectra.
The corresponding squeezed states are well-defined, however.
| [
{
"version": "v1",
"created": "Mon, 17 Nov 1997 09:44:43 GMT"
},
{
"version": "v2",
"created": "Tue, 2 Dec 1997 07:21:36 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Nagel",
"Bengt",
"",
"Royal Institute of Technology, Stockholm, Sweden"
]
] |
quant-ph/9711029 | Trevor Marshall | Trevor W. Marshall (Mathematics Dept., Manchester Univ., UK) | Do we need photons in parametric down conversion? | Submitted to Phys. Rev. Letters See also
http://xxx.lanl.gov/abs/quant-ph/9712001
http://xxx.lanl.gov/abs/quant-ph/9711046 http://www.keyinnov.demon.co.uk | null | null | MUM-97-11 | quant-ph | null | The phenomenon of parametric down conversion from the vacuum may be
understood as a process in classical electrodynamics, in which a nonlinear
crystal couples the modes of the pumping field with those of the zeropoint, or
"vacuum" field. This is an entirely local theory of the phenomenon, in contrast
with the presently accepted nonlocal theory. The new theory predicts a hitherto
unsuspected phenomenon - parametric up conversion from the vacuum.
| [
{
"version": "v1",
"created": "Mon, 17 Nov 1997 10:44:17 GMT"
},
{
"version": "v2",
"created": "Tue, 2 Dec 1997 15:00:43 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Marshall",
"Trevor W.",
"",
"Mathematics Dept., Manchester Univ., UK"
]
] |
quant-ph/9711030 | Trevor Marshall | Trevor W. Marshall (Mathematics Dept., Manchester Univ., UK) | A local realist theory of parametric down conversion | Submitted to Phys. Rev. A See also
http://xxx.lanl.gov/abs/quant-ph/9711029
http://xxx.lanl.gov/abs/quant-ph/9712001 http://www.keyinnov.demon.co.uk | null | null | MUM-97-12 | quant-ph | null | In a series of articles we have shown that all parametric-down- conversion
processes, both of type-I and type-II, may be described by a positive Wigner
density. These results, together with our description of how light detectors
subtract the zeropoint radiation, indicated the possibility of a completely
local realist theory of all these processes. In the present article we show how
the down-converted fields may be described as retarded fields, generated by
currents inside the nonlinear crystal, thereby achieving such a theory. Most of
its predictions coincide with the standard nonlocal theory. However, the
intensities of the down converted signals do not correspond exactly with the
photon pairs of the nonlocal theory. For example, in a blue- red down
conversion we would find 1.03 red "photons" for every blue one. The theory also
predicts a new phenomenon, namely parametric up conversion from the vacuum.
| [
{
"version": "v1",
"created": "Mon, 17 Nov 1997 15:36:09 GMT"
},
{
"version": "v2",
"created": "Tue, 2 Dec 1997 15:20:40 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Marshall",
"Trevor W.",
"",
"Mathematics Dept., Manchester Univ., UK"
]
] |
quant-ph/9711031 | Chris Isham | C.J. Isham, N. Linden, K. Savvidou, S. Schreckenberg | Continuous Time and Consistent Histories | Typeset in RevTeX | J.Math.Phys. 39 (1998) 1818-1834 | 10.1063/1.532265 | Imperial/TP/96--97/64; DAMTP-R97/55 | quant-ph gr-qc | null | We discuss the use of histories labelled by a continuous time in the approach
to consistent-histories quantum theory in which propositions about the history
of the system are represented by projection operators on a Hilbert space. This
extends earlier work by two of us \cite{IL95} where we showed how a continuous
time parameter leads to a history algebra that is isomorphic to the canonical
algebra of a quantum field theory. We describe how the appropriate
representation of the history algebra may be chosen by requiring the existence
of projection operators that represent propositions about time average of the
energy. We also show that the history description of quantum mechanics contains
an operator corresponding to velocity that is quite distinct from the momentum
operator. Finally, the discussion is extended to give a preliminary account of
quantum field theory in this approach to the consistent histories formalism.
| [
{
"version": "v1",
"created": "Mon, 17 Nov 1997 18:32:34 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Isham",
"C. J.",
""
],
[
"Linden",
"N.",
""
],
[
"Savvidou",
"K.",
""
],
[
"Schreckenberg",
"S.",
""
]
] |
quant-ph/9711032 | John Smolin | H. Barnum, J.A. Smolin and B.M. Terhal | The quantum capacity is properly defined without encodings | 19 pages revtex with two eps figures. Submitted to Phys. Rev. A.
Replaced with revised and simplified version, and improved references, etc.
Why can't the last line of the comments field end with a period using this
web submission form? | Phys.Rev.A58:3496,1998 | 10.1103/PhysRevA.58.3496 | null | quant-ph | null | We show that no source encoding is needed in the definition of the capacity
of a quantum channel for carrying quantum information. This allows us to use
the coherent information maximized over all sources and and block sizes, but
not encodings, to bound the quantum capacity. We perform an explicit
calculation of this maximum coherent information for the quantum erasure
channel and apply the bound in order find the erasure channel's capacity
without relying on an unproven assumption as in an earlier paper.
| [
{
"version": "v1",
"created": "Mon, 17 Nov 1997 20:23:24 GMT"
},
{
"version": "v2",
"created": "Wed, 13 May 1998 19:40:27 GMT"
}
] | 2011-07-19T00:00:00 | [
[
"Barnum",
"H.",
""
],
[
"Smolin",
"J. A.",
""
],
[
"Terhal",
"B. M.",
""
]
] |
quant-ph/9711033 | Norbert Lutkenhaus | N. L\"utkenhaus and Stephen M. Barnett | Security against eavesdropping in quantum cryptography | 11 pages including 3 figures, contains new results not contained in
my Phys. Rev. A paper | Proceedings of an International Workshop on Quantum Communication,
Computing, and Measurement, held September 25-30 1996 in Shizuoka, Japan,
Plenum Press, New York (1997) | null | null | quant-ph | null | In this article we deal with the security of the BB84 quantum cryptography
protocol over noisy channels using generalized privacy amplification. For this
we estimate the fraction of bits needed to be discarded during the privacy
amplification step. This estimate is given for two scenarios, both of which
assume the eavesdropper to access each of the signals independently and take
error correction into account. One scenario does not allow a delay of the
eavesdropper's measurement of a measurement probe until he receives additional
classical information. In this scenario we achieve a sharp bound. The other
scenario allows a measurement delay, so that the general attack of an
eavesdropper on individual signals is covered. This bound is not sharp but
allows a practical implementation of the protocol.
| [
{
"version": "v1",
"created": "Tue, 18 Nov 1997 15:58:51 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Lütkenhaus",
"N.",
""
],
[
"Barnett",
"Stephen M.",
""
]
] |
quant-ph/9711034 | Ass. Prof. Leonid A. Openov | A.M.Bychkov, L.A.Openov and I.A.Semenihin (Moscow State Engineering
Physics Institute, Technical University) | Single-electron computing without dissipation | 5 pages, TeX, 1 Figure | Pisma Zh.Eksp.Teor.Fiz. 66 (1997) 275-279 | 10.1134/1.567471 | null | quant-ph cond-mat.str-el | null | A possibility to perform single-electron computing without dissipation in the
array of tunnel-coupled quantum dots is studied theoretically, taking the spin
gate NOT (inverter) as an example. It is shown that the logical operation can
be realized at the stage of unitary evolution of electron subsystem, though
complete switching of the inverter cannot be achieved in a reasonable time at
realistic values of model parameters. An optimal input magnetic field is found
as a function of inter-dot tunneling energy and intra-dot Coulomb repulsion
energy.
| [
{
"version": "v1",
"created": "Tue, 18 Nov 1997 17:07:20 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Bychkov",
"A. M.",
"",
"Moscow State Engineering\n Physics Institute, Technical University"
],
[
"Openov",
"L. A.",
"",
"Moscow State Engineering\n Physics Institute, Technical University"
],
[
"Semenihin",
"I. A.",
"",
"Moscow State Engineering\n Physics Institute, Technical University"
]
] |
quant-ph/9711035 | Martin Stock | Edward Farhi and Sam Gutmann | Quantum Mechanical Square Root Speedup in a Structured Search Problem | 6 pages, REVTeX; correspondence to [email protected] | null | null | MIT-CTP-2691 | quant-ph | null | An unstructured search for one item out of N can be performed quantum
mechanically in time of order square root of N whereas classically this
requires of order N steps. This raises the question of whether square root
speedup persists in problems with more structure. In this note we focus on one
example of a structured problem and find a quantum algorithm which takes time
of order the square root of the classical time.
| [
{
"version": "v1",
"created": "Tue, 18 Nov 1997 20:00:13 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Farhi",
"Edward",
""
],
[
"Gutmann",
"Sam",
""
]
] |
quant-ph/9711036 | Alejandro Cabo | A. Cabo, J. L. Lucio M., V. Villanueva | Central charges in regular mechanics | LaTeX, no figures, corrected for misprints, sent to Annals of
Physics(NY) | null | null | null | quant-ph | null | We consider the algebra associated to a group of transformations which are
symmetries of a regular mechanical system (i.e. system free of constraints).
For time dependent coordinate transformations we show that a central extension
may appear at the classical level which is coordinate and momentum independent.
A cochain formalism naturally arises in the argument and extends the usual
configuration space cochain concepts to phase space.
| [
{
"version": "v1",
"created": "Tue, 18 Nov 1997 19:45:25 GMT"
},
{
"version": "v2",
"created": "Fri, 21 Nov 1997 21:13:15 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Cabo",
"A.",
""
],
[
"M.",
"J. L. Lucio",
""
],
[
"Villanueva",
"V.",
""
]
] |
quant-ph/9711037 | Ricardo Moritz Cavalcanti | R. M. Cavalcanti and C. A. A. de Carvalho | On the effectiveness of Gamow's method for calculating decay rates | 10 pages, 1 figure, REVTEX. A few modifications, references updated | Rev.Bras.Ens.Fis. 21 (1999) 464 | null | null | quant-ph | null | We examine Gamow's method for calculating the decay rate of a wave function
initially located within a potential well. Using elementary techniques, we
examine a very simple, exactly solvable model, in order to show why it is so
reliable for calculating decay rates, in spite of its conceptual problems. We
also discuss the regime of validity of the exponential decay law.
| [
{
"version": "v1",
"created": "Wed, 19 Nov 1997 02:33:44 GMT"
},
{
"version": "v2",
"created": "Fri, 12 May 2000 20:37:11 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Cavalcanti",
"R. M.",
""
],
[
"de Carvalho",
"C. A. A.",
""
]
] |
quant-ph/9711038 | null | Zhi-Tao Yan (Department of Physics, Peking University, Beijing, P.R.
China) | Statistics for Particles Having Internal Quantum State | 11 pages, RevTeX style, submitted to Phys.Rev.Lett | null | null | PKU-TH-97/45 | quant-ph | null | A new kind of quantum statistics which interpolates between Bose and Fermi
statistics is proposed beginning with the assumption that the quantum state of
a many-particle system is a functional on the internal space of the particles.
The quantum commutation relations for such particle creation and annihilation
operators are derived, and statistical partition function and thermodynamical
properties of an ideal gas of the particles are investigated. The application
of this quantum statistics for the ensemble of extremal black holes are
discussed.
| [
{
"version": "v1",
"created": "Wed, 19 Nov 1997 06:57:58 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Yan",
"Zhi-Tao",
"",
"Department of Physics, Peking University, Beijing, P.R.\n China"
]
] |
quant-ph/9711039 | L. Knoell | Ho Trung Dung, L. Knoell, and D.-G. Welsch | Three-dimensional quantization of the electromagnetic field in
dispersive and absorbing inhomogeneous dielectrics | null | null | 10.1103/PhysRevA.57.3931 | null | quant-ph | null | A quantization scheme for the phenomenological Maxwell theory of the full
electromagnetic field in an inhomogeneous three-dimensional, dispersive and
absorbing dielectric medium is developed. The classical Maxwell equations with
spatially varying and Kramers-Kronig consistent permittivity are regarded as
operator-valued field equations, introducing additional current- and
charge-density operator fields in order to take into account the noise
associated with the dissipation in the medium. It is shown that the equal-time
commutation relations between the fundamental electromagnetic fields $\hat E$
and $\hat B$ and the potentials $\hat A$ and $\hat \phi$ in the Coulomb gauge
can be expressed in terms of the Green tensor of the classical problem. From
the Green tensors for bulk material and an inhomogeneous medium consisting of
two bulk dielectrics with a common planar interface it is explicitly proven
that the well-known equal-time commutation relations of QED are preserved.
| [
{
"version": "v1",
"created": "Wed, 19 Nov 1997 11:20:32 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Dung",
"Ho Trung",
""
],
[
"Knoell",
"L.",
""
],
[
"Welsch",
"D. -G.",
""
]
] |
quant-ph/9711040 | null | Andras Bodor | Is Quantum Bit Commitment Really Impossible? | This paper has been withdrawn: the proposed method is insecure. I
thank H-K. Lo and H. F. Chau for helpful correspondences | null | null | null | quant-ph | null | This paper has been withdrawn.
| [
{
"version": "v1",
"created": "Wed, 19 Nov 1997 16:18:36 GMT"
},
{
"version": "v2",
"created": "Sun, 23 Nov 1997 14:03:07 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Bodor",
"Andras",
""
]
] |
quant-ph/9711041 | Wayne M. Itano | W. M. Itano, J. C. Bergquist, J. J. Bollinger, D. J. Wineland, U.
Eichmann, M. G. Raizen | Complementarity and Young's interference fringes from two atoms | 12 pages, including 7 EPS figures, RevTex. Submitted to Phys. Rev. A | null | 10.1103/PhysRevA.57.4176 | null | quant-ph | null | The interference pattern of the resonance fluorescence from a J=1/2 to J=1/2
transition of two identical atoms confined in a three-dimensional harmonic
potential is calculated. Thermal motion of the atoms is included. Agreement is
obtained with experiments [Eichmann et al., Phys. Rev. Lett. 70, 2359 (1993)].
Contrary to some theoretical predictions, but in agreement with the present
calculations, a fringe visibility greater than 50% can be observed with
polarization-selective detection. The dependence of the fringe visibility on
polarization has a simple interpretation, based on whether or not it is
possible in principle to determine which atom emitted the photon.
| [
{
"version": "v1",
"created": "Wed, 19 Nov 1997 17:28:57 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Itano",
"W. M.",
""
],
[
"Bergquist",
"J. C.",
""
],
[
"Bollinger",
"J. J.",
""
],
[
"Wineland",
"D. J.",
""
],
[
"Eichmann",
"U.",
""
],
[
"Raizen",
"M. G.",
""
]
] |
quant-ph/9711042 | Trevor Marshall | Alberto Casado, Trevor W. Marshall and Emilio Santos (School of
Engineering, Univ. of Seville, Spain) | Type-II parametric down conversion in the Wigner-function formalism.
Entanglement and Bell's inequalities | See also quant-ph/9711029 and quant-ph/9711030 | Journal of the Optical Society of America B Vol. 15, Issue 5, pp.
1572-1577 (1998) | 10.1364/JOSAB.15.001572 | MUM-97-13 | quant-ph | null | We continue the analysis of our previous articles which were devoted to
type-I parametric down conversion, the extension to type-II being
straightforward. We show that entanglement, in the Wigner representation, is
just a correlation that involves both signal and vacuum fluctuations. An
analysis of the detection process opens the way to a complete description of
parametric down conversion in terms of pure Maxwell electromagnetic waves.
| [
{
"version": "v1",
"created": "Wed, 19 Nov 1997 21:29:04 GMT"
}
] | 2025-02-18T00:00:00 | [
[
"Casado",
"Alberto",
"",
"School of\n Engineering, Univ. of Seville, Spain"
],
[
"Marshall",
"Trevor W.",
"",
"School of\n Engineering, Univ. of Seville, Spain"
],
[
"Santos",
"Emilio",
"",
"School of\n Engineering, Univ. of Seville, Spain"
]
] |
quant-ph/9711043 | Lov K. Grover | Lov K. Grover (Bell Labs, Murray Hill NJ) | A framework for fast quantum mechanical algorithms | The paper has been rewritten, two illustrative figures have been
added. It is to be presented at STOC '98 in May '98 | null | null | null | quant-ph | null | A framework is presented for the design and analysis of quantum mechanical
algorithms, the sqrt(N) step quantum search algorithm is an immediate
consequence of this framework. It leads to several other search-type
applications - several examples are presented. Also, it leads to quantum
mechanical algorithms for problems not immediately connected with search - two
such algorithms are presented for estimating the mean and median of statistical
distributions. Both algorithms require fewer steps than the fastest possible
classical algorithms; also both are considerably simpler and faster than
existing quantum mechanical algorithms for the respective problems.
| [
{
"version": "v1",
"created": "Thu, 20 Nov 1997 03:01:54 GMT"
},
{
"version": "v2",
"created": "Thu, 5 Mar 1998 16:52:42 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Grover",
"Lov K.",
"",
"Bell Labs, Murray Hill NJ"
]
] |
quant-ph/9711044 | Caroline Thompson | Caroline H. Thompson (Department of Computer Science, University of
Wales Aberystwyth) | Timing, ``Accidentals'' and Other Artifacts in EPR Experiments | 5 pages, LaTeX, 3 Encapsulated PostScript figures. Submitted to
Physical Review Letters, November 1997. Minor corrections, page layout
improved | null | null | null | quant-ph | null | Subtraction of ``accidentals'' in Einstein-Podolsky-Rosen experiments
frequently changes results compatible with local realism into ones that appear
to demonstrate non-locality. The validity of the procedure depends on the
unproven assumption of the independence of emission events. Other possible
sources of bias include enhancement, imperfect synchronisation, over-reliance
on rotational invariance, and the well-known detection loophole. Investigation
of existing results may be more fruitful than attempts at loophole-free Bell
tests, improving our understanding of light.
| [
{
"version": "v1",
"created": "Thu, 20 Nov 1997 13:50:17 GMT"
},
{
"version": "v2",
"created": "Tue, 25 Nov 1997 15:34:38 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Thompson",
"Caroline H.",
"",
"Department of Computer Science, University of\n Wales Aberystwyth"
]
] |
quant-ph/9711045 | Castagnoli Giuseppe | Giuseppe Castagnoli, Dalida Monti | A reductionistic approach to quantum computation | 1 figure | null | null | null | quant-ph | null | In the reductionistic approach, mechanisms are divided into simpler parts
interconnected in some standard way (e.g. by a mechanical transmission). We
explore the possibility of porting reductionism in quantum operations.
Conceptually, first parts are made independent of each other by assuming that
all ``transmissions'' are removed. The overall state would thus become a
superposition of tensor products of the eigenstates of the independent parts.
Transmissions are restored by projecting off all the tensor products which
violate them. This would be performed by particle statistics; the plausibility
of this scheme is based on the interpretation of particle statistics as
projection. The problem of the satisfiability of a Boolean network is
approached in this way. This form of quantum reductionism appears to be able of
taming the quantum whole without clipping its richness.
| [
{
"version": "v1",
"created": "Thu, 20 Nov 1997 15:12:55 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Castagnoli",
"Giuseppe",
""
],
[
"Monti",
"Dalida",
""
]
] |
quant-ph/9711046 | Trevor Marshall | Trevor W. Marshall and Emilio Santos (Mathematics Dept., Manchester
Univ. and Univ. de Cantabria) | The myth of the photon | See also quant-ph 9711029, 9711030, 9711042 and
http://www.keyinnov.demon.co.uk | In: Jeffers, S., Roy, S., Vigier, JP., Hunter, G. (eds) The
Present Status of the Quantum Theory of Light. Fundamental Theories of
Physics, vol 80. Springer, Dordrecht, 1997 | 10.1007/978-94-011-5682-0_7 | MUM-97-14 | quant-ph | null | We have shown that all "single-photon" and "photon-pair" states, produced in
atomic transitions, and in parametric down conversion by nonlinear optical
crystals, may be represented by positive Wigner densities of the relevant sets
of mode amplitudes. The light fields of all such states are represented as a
real probability ensemble (not a pseudoensemble) of solutions of the
unquantized Maxwell equation.
The local realist analysis of light-detection events in spatially separated
detectors requires a theory of detection which goes beyond the currently
fashionable single-mode photon theory. It also requires us to recognize that
there is a payoff between detector efficiency and signal-noise discrimination.
Using such a theory, we have demonstrated that all experimental data, both in
atomic cascades and in parametric down conversions, have a consistent local
realist explanation based on the unquantized Maxwell field.
Finally we discuss current attempts to demonstrate Schroedinger-cat-like
behaviour of microwave cavities interacting with Rydberg atoms. Here also we
demonstrate that there is no experimental evidence which cannot be described by
the unquantized Maxwell field.
We conclude that misuse of the Photon Concept has resulted in a mistaken
recognition of "nonlocal" phenomena.
| [
{
"version": "v1",
"created": "Thu, 20 Nov 1997 16:47:03 GMT"
}
] | 2025-02-18T00:00:00 | [
[
"Marshall",
"Trevor W.",
"",
"Mathematics Dept., Manchester\n Univ. and Univ. de Cantabria"
],
[
"Santos",
"Emilio",
"",
"Mathematics Dept., Manchester\n Univ. and Univ. de Cantabria"
]
] |
quant-ph/9711047 | Vladimir D. Tonchev | Vladimir D. Tonchev (Michigan Technological University) | Quantum self-dual codes and symmetric matrices | paper withdrawn | null | null | VDT 97-11 | quant-ph | null | This paper has been withdrawn since a Gilbert-Varshamov bound for general
quantum codes has already appeared in Ekert and Macchiavello, Prys. Rev. Lett.
77, p. 2585, and a Gilbert-Varshamov bound for stabilizer codes connected with
orthogonal geometry, or equivalently, with symmetric matrices as in this paper,
has been proved by Calredbank, Rains, Shor and Sloane, Phys. Rev. Lett. 78, p.
405. I would like to thank Robert Calderbank for pointing out these references
to me.
| [
{
"version": "v1",
"created": "Thu, 20 Nov 1997 19:14:46 GMT"
},
{
"version": "v2",
"created": "Sat, 13 Dec 1997 19:43:00 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Tonchev",
"Vladimir D.",
"",
"Michigan Technological University"
]
] |
quant-ph/9711048 | Michael Dickson | Guido Bacciagaluppi (University of Oxford) and Michael Dickson
(Indiana University) | Dynamics for Density Operator Interpretations of Quantum Theory | LaTeX, 38 pages | null | null | null | quant-ph | null | We first introduce and discuss density operator interpretations of quantum
theory as a special case of a more general class of interpretations, giving
special attention to a version that we call the `atomic version'. We then
review some crucial parts of the theory of stochastic processes (the proper
context in which to discuss dynamics), and develop a general framework for
specifying a dynamics for density operator interpretations. This framework
admits infinitely many empirically equivalent dynamics. We give some examples,
and discuss some of the properties of one of them.
| [
{
"version": "v1",
"created": "Thu, 20 Nov 1997 20:01:12 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Bacciagaluppi",
"Guido",
"",
"University of Oxford"
],
[
"Dickson",
"Michael",
"",
"Indiana University"
]
] |
quant-ph/9711049 | null | Samuel L. Braunstein (SEECS, University of Wales, Bangor, UK) | Error correction for continuous quantum variables | latex with revtex, 4 pages, 3 figures | Phys.Rev.Lett.80:4084-4087,1998 | 10.1103/PhysRevLett.80.4084 | null | quant-ph | null | We propose an error correction coding algorithm for continuous quantum
variables. We use this algorithm to construct a highly efficient 5-wavepacket
code which can correct arbitrary single wavepacket errors. We show that this
class of continuous variable codes is robust against imprecision in the error
syndromes. A potential implemetation of the scheme is presented.
| [
{
"version": "v1",
"created": "Fri, 21 Nov 1997 00:40:37 GMT"
}
] | 2011-07-19T00:00:00 | [
[
"Braunstein",
"Samuel L.",
"",
"SEECS, University of Wales, Bangor, UK"
]
] |
quant-ph/9711050 | Alberto Barchielli | Alberto Barchielli and Giancarlo Lupieri | Photoemissive sources and quantum stochastic calculus | 9 pages; submitted to Proceedings of the Workshop on Quantum
Probability (Gdansk, Poland, July 1-6, 1997) | In R. Alicki, M. Bozejko, W. A. Majewski (eds.), Quantum
Probability, (Polish Academy of Sciences, Inst. of Math., Warszawa, 1998) pp.
53-62. | null | 298/P | quant-ph | null | Just at the beginning of quantum stochastic calculus Hudson and Parthasarathy
proposed a quantum stochastic Schrodinger equation linked to dilations of
quantum dynamical semigroups. Such an equation has found applications in
physics, mainly in quantum optics, but not in its full generality. It has been
used to give, at least approximately, the dynamics of photoemissive sources
such as an atom absorbing and emitting light or matter in an optical cavity,
which exchanges light with the surrounding free space. But in these cases the
possibility of introducing the gauge (or number) process in the dynamical
equation has not been considered. In this paper we show, in the case of the
simplest photoemissive source, namely a two-level atom stimulated by a laser,
how the full Hudson-Parthasarathy equation allows to describe in a consistent
way not only absorption and emission, but also the elastic scattering of the
light by the atom. Morever, we study the differential and total cross sections
for the scattering of laser light by the atom, as a function of the frequency
of the stimulating laser. The resulting line-shape is very interesting. Not
only a Lorentzian shape is permitted, but the full variety of Fano profiles can
be obtained. The dependence of the line shape on the intensity of the
stimulating laser is computed; in particular, the resonance position turns out
to be intensity dependent, a phenomenon known as lamp shift.
| [
{
"version": "v1",
"created": "Fri, 21 Nov 1997 08:27:01 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Barchielli",
"Alberto",
""
],
[
"Lupieri",
"Giancarlo",
""
]
] |
quant-ph/9711051 | Wladyslaw Adam Majewski | Adam W. Majewski (Gdansk University) | Separable and entangled states of composite quantum systems; Rigorous
description | latex with revtex | null | null | null | quant-ph | null | We present a general description of separable states in Quantum Mechanics. In
particular, our result gives an easy proof that inseparabitity (or
entanglement) is a pure quantum (noncommutative) notion. This implies that
distinction between separability and inseparabitity has sense only for
composite systems consisting of pure quantum subsystems. Moreover, we provide
the unified characterization of pure-state entanglement and mixed-state
entanglement.
| [
{
"version": "v1",
"created": "Fri, 21 Nov 1997 16:00:26 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Majewski",
"Adam W.",
"",
"Gdansk University"
]
] |
quant-ph/9711052 | N. David Mermin | N. David Mermin | Nonlocal character of quantum theory? | 11 pages, no figures | null | 10.1119/1.18990 | null | quant-ph | null | In a recent article under the above title (but without the question mark)
Henry Stapp presented arguments which lead him to conclude that under suitable
conditions ``the truth of a statement that refers only to phenomena confined to
an earlier time'' must ``depend on which measurement an experimenter freely
chooses to perform at a later time.'' I point out that the reasoning leading to
this conclusion relies on an essential ambiguity regarding the meaning of the
expression ``statement that refers only to phenomena confined to an earlier
time'' when such a statement contains counterfactual conditionals. As a result
the argumentation does not justify the conclusion that there can be frames of
reference in which future choices can affect present facts. But it does provide
an instructive and interestingly different opportunity to illustrate a central
point of Bohr's reply to Einstein, Podolsky, and Rosen.
| [
{
"version": "v1",
"created": "Fri, 21 Nov 1997 21:03:19 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Mermin",
"N. David",
""
]
] |
quant-ph/9711053 | M. Czachor | Marek Czachor | Structure of nonlinear gauge transformations | Final version, to be published in Phys.Rev.A (Rapid Communication),
April 1998 | Phys.Rev. A57 (1998) 2263 | 10.1103/PhysRevA.57.R2263 | null | quant-ph | null | Nonlinear Doebner-Goldin [Phys. Rev. A 54, 3764 (1996)] gauge transformations
(NGT) defined in terms of a wave function $\psi(x)$ do not form a group. To get
a group property one has to consider transformations that act differently on
different branches of the complex argument function and the knowledge of the
value of $\psi(x)$ is not sufficient for a well defined NGT. NGT that are well
defined in terms of $\psi(x)$ form a semigroup parametrized by a real number
$\gamma$ and a nonzero $\lambda$ which is either an integer or $-1\leq
\lambda\leq 1$. An extension of NGT to projectors and general density matrices
leads to NGT with complex $\gamma$. Both linearity of evolution and Hermiticity
of density matrices are gauge dependent properties.
| [
{
"version": "v1",
"created": "Sat, 22 Nov 1997 10:18:22 GMT"
},
{
"version": "v2",
"created": "Mon, 23 Feb 1998 18:01:09 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Czachor",
"Marek",
""
]
] |
quant-ph/9711054 | M. Czachor | Marek Czachor | Lie-Nambu and beyond | revtex; an extended version of the talk given at the workshop "Actual
problems in quantum mechanics", Peyresq, July, 1997 | Int.J.Theor.Phys.38:475-500,1999 | 10.1023/A:1026670215803 | null | quant-ph | null | Linear quantum mechanics can be regarded as a particular example of a
nonlinear Nambu-type theory. Some elements of this approach are presented.
| [
{
"version": "v1",
"created": "Sat, 22 Nov 1997 11:05:45 GMT"
}
] | 2014-11-18T00:00:00 | [
[
"Czachor",
"Marek",
""
]
] |
quant-ph/9711055 | Konrad Banaszek | Konrad Banaszek and Krzysztof Wodkiewicz (Uniwersytet Warszawski) | Photon counting sampling of phase space | 3 pages LaTeX. A contribution to the Proceedings of the Fifth
International Wigner Symposium (Wien, 25-29 August 1997) | null | null | null | quant-ph physics.optics | null | The recently proposed scheme for direct sampling of the quantum phase space
by photon counting is discussed within the Wigner function formalism.
| [
{
"version": "v1",
"created": "Sun, 23 Nov 1997 16:00:32 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Banaszek",
"Konrad",
"",
"Uniwersytet Warszawski"
],
[
"Wodkiewicz",
"Krzysztof",
"",
"Uniwersytet Warszawski"
]
] |
quant-ph/9711056 | Robert Alicki | Robert Alicki | A new stochastic interpretation of quantum mechanics | 3 pages, revtex, no figures | null | null | null | quant-ph | null | The reinterpretation of quantum mechanical formalism in terms of a classical
model with a continuous material "$\Psi$-field" acting upon a point-like
particle which is subjected to large friction and random forces is proposed.
This model gives a mechanism for sudden "quantum jumps" and provides a simple
explanation of "Schr\"odinger Cat" phenomena.
| [
{
"version": "v1",
"created": "Mon, 24 Nov 1997 13:02:53 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Alicki",
"Robert",
""
]
] |
quant-ph/9711057 | Dorje C. Brody | D.C. Brody (DAMTP, Cambridge), L.P. Hughston (Merrill Lynch, London) | Thermalisation of Quantum States | 8 pages, minor corrections. To appear in JMP | J.Math.Phys. 40 (1999) 12-18 | 10.1063/1.532757 | null | quant-ph | null | An exact stochastic model for the thermalisation of quantum states is
proposed. The model has various physically appealing properties. The dynamics
are characterised by an underlying Schrodinger evolution, together with a
nonlinear term driving the system towards an asymptotic equilibrium state and a
stochastic term reflecting fluctuations. There are two free parameters, one of
which can be identified with the heat bath temperature, while the other
determines the characteristic time scale for thermalisation. Exact expressions
are derived for the evolutionary dynamics of the system energy, the system
entropy, and the associated density operator.
| [
{
"version": "v1",
"created": "Mon, 24 Nov 1997 18:07:31 GMT"
},
{
"version": "v2",
"created": "Thu, 1 Oct 1998 13:11:17 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Brody",
"D. C.",
"",
"DAMTP, Cambridge"
],
[
"Hughston",
"L. P.",
"",
"Merrill Lynch, London"
]
] |
quant-ph/9711058 | Claus Slotta | Claus Slotta and Ulrich Heinz | Resolving the space-time structure of sonoluminescence by intensity
interferometry | 17 pages RevTeX, 3 figures included, submitted to Phys.Rev.A | Phys.Rev.E58:526-531,1998 | 10.1103/PhysRevE.58.526 | null | quant-ph | null | We analyze the spatial and temporal resolving power of two-photon intensity
interferometry for the light emitting source in single bubble sonoluminescence
(SBSL). We show that bubble sizes between several 10 nm and 3 um can be
resolved by measuring the transverse correlation function, but that a direct
determination of the flash duration via the longitudinal correlation function
works only for SBSL pulses which are shorter than 0.1 ps. Larger pulse lengths
can be determined indirectly from the intercept of the angular correlator at
equal photon frequencies. The dynamics of the bubble is not accessible by
two-photon interferometry.
| [
{
"version": "v1",
"created": "Mon, 24 Nov 1997 21:37:33 GMT"
}
] | 2009-10-09T00:00:00 | [
[
"Slotta",
"Claus",
""
],
[
"Heinz",
"Ulrich",
""
]
] |
quant-ph/9711059 | Haret Rosu | L.J. Boya, H. Rosu, A.J. Segui-Santonja, F.J. Vila | Strictly isospectral supersymmetry and Schroedinger general zero modes | 7 pages, LaTex | Nuovo Cimento B 113 (March 1998) 409-414 | null | null | quant-ph | null | The connection between the strictly isospectral construction in
supersymmetric quantum mechanics and the general zero mode solutions of the
Schroedinger equation is explained by introducing slightly generalized
first-order intertwining operators. We also present a multiple-parameter
generalization of the strictly isospectral construction in the same perspective
| [
{
"version": "v1",
"created": "Mon, 24 Nov 1997 23:45:05 GMT"
},
{
"version": "v2",
"created": "Wed, 26 Nov 1997 19:09:59 GMT"
},
{
"version": "v3",
"created": "Thu, 16 Apr 1998 22:40:34 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Boya",
"L. J.",
""
],
[
"Rosu",
"H.",
""
],
[
"Segui-Santonja",
"A. J.",
""
],
[
"Vila",
"F. J.",
""
]
] |
quant-ph/9711060 | Henry Stapp | Henry P.Stapp (Lawrence Berkeley Laboratory, Univ. of California) | Mermin's Suggestion and the Nature of Bohr's Action-at-a-Distance
Influence | 7pages | null | null | LBNL 41106 | quant-ph | null | Mermin suggests comparing my recent proof of quantum nonlocality to Bohr's
reply to Einstein, Podolsky, and Rosen. Doing so leads naturally to the insight
that the nonlocal influence deduced from the analysis of the Hardy experiment
is the same as the nonlocal influence deduced by Bohr, and used by him to block
the application of the criterion of physical reality proposed by Einstein,
Podolsky, and Rosen. However, the greater sophistication of the Hardy
experiment, as contrasted to the experiment considered by Bohr and the three
authors, exposes more clearly than before the nature of this influence, and
thereby strengthens Bohr's position.
| [
{
"version": "v1",
"created": "Tue, 25 Nov 1997 02:02:56 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Stapp",
"Henry P.",
"",
"Lawrence Berkeley Laboratory, Univ. of California"
]
] |
quant-ph/9711061 | Robert Bluhm | Robert Bluhm, Alan Kostelecky, James Porter, and Bogdan Tudose | Revivals of Quantum Wave Packets | Talk presented by Robert Bluhm at the Fifth International Wigner
Symposium, Vienna, Austria, August, 1997 | null | null | COLBY 97-09, IUHET 372, September 1997 | quant-ph | null | We present a generic treatment of wave-packet revivals for quantum-mechanical
systems. This treatment permits a classification of certain ideal revival
types. For example, wave packets for a particle in a one-dimensional box are
shown to exhibit perfect revivals. We also examine the revival structure of
wave packets for quantum systems with energies that depend on two quantum
numbers. Wave packets in these systems exhibit quantum beats in the initial
motion as well as new types of long-term revivals. As an example, we consider
the revival structure of a particle in a two-dimensional box.
| [
{
"version": "v1",
"created": "Tue, 25 Nov 1997 16:29:52 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Bluhm",
"Robert",
""
],
[
"Kostelecky",
"Alan",
""
],
[
"Porter",
"James",
""
],
[
"Tudose",
"Bogdan",
""
]
] |
quant-ph/9711062 | Lev Kapitanski | Lev Kapitanski, Igor Rodnianski | Does a quantum particle know the time? | 20 pages AMSTeX | null | null | 1 | quant-ph | null | We study the spatial regularity of the fundamental solution E(t,x) of the
Schr\"odinger equation on the circle in a scale of Besov spaces. Although the
fundamental solution is not smooth, we reveal a fine change of regularity of
E(t,x) at different times t. For rational t, E(t,x) is a weighted sum of
delta-functions, and, therefore, exhibits the same regularity as at t=0. For
irrational t, the regularity of E(t,x) is better and depends on how well t is
approximated by rationals. For badly approximated t (e.g., when t is a
quadratic irrational, or, more generally, when t has bounded quotients in its
continued fraction expansion), E(t,x) is a "1/2-derivative" more regular than
E(0,x). For a generic irrational t, E(t,x) is almost "1/2-derivative" more
regular. However, the better t is approximated by rationals, the lower is the
regularity of E(t,x). We describe different thin classes of irrationals which
prescribe their particular regularity to the fundamental solution. These
classes are singled out and characterized by the behavior of the continued
fraction expansions of their members.
| [
{
"version": "v1",
"created": "Tue, 25 Nov 1997 21:13:17 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Kapitanski",
"Lev",
""
],
[
"Rodnianski",
"Igor",
""
]
] |
quant-ph/9711063 | Paul Slater | Paul B. Slater (University of California, Santa Barbara) | A Quantum-Theoretic Analog for a Pair of Noncommuting Observables of the
Semiclassical Brillouin Function | 7 pages, LaTeX, 10 postscript figures | null | null | null | quant-ph | null | We study, with the use of numerical integration, a noncommutative extension
of a quantum-theoretic model (an alternative to the semiclassical Brillouin
function), recently presented by Brody and Hughston and, independently, Slater,
for the thermodynamic behavior of a spin-1/2 particle. Differences between the
(broadly similar) predictions yielded by this extended model and those obtained
from its conventional (semiclassical/Jaynesian) entropy-maximization
counterpart are examined.
| [
{
"version": "v1",
"created": "Tue, 25 Nov 1997 21:49:08 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Slater",
"Paul B.",
"",
"University of California, Santa Barbara"
]
] |
quant-ph/9711064 | null | Henry P. Stapp (Lawrence Berkeley Laboratory, University of
California) | On quantum theories of the mind | 8 pages, Sumbitted Nov 25, 1997 to J. for the Study of Consciousness | null | null | LBNL 40369 | quant-ph | null | Replies are given to arguments advanced in this journal that claim to show
that it is to nonlinear classical mechanics rather than quantum mechanics that
one must look for the physical underpinnings of consciousness.
| [
{
"version": "v1",
"created": "Wed, 26 Nov 1997 00:57:42 GMT"
}
] | 2016-09-08T00:00:00 | [
[
"Stapp",
"Henry P.",
"",
"Lawrence Berkeley Laboratory, University of\n California"
]
] |
quant-ph/9711065 | Chau Hoi Fung | H.-K. Lo and H. F. Chau | Why Quantum Bit Commitment And Ideal Quantum Coin Tossing Are Impossible | We emphasize the generality of this "no-go theorem". All bit
commitment schemes---fully quantum, classical and quantum but with
measurements---are shown to be necessarily insecure. Accepted for publication
in a special issue of Physica D. About 18 pages in elsart.sty. This is an
extended version of an earlier manuscript (quant-ph/9605026) which has
appeared in the proceedings of PHYSCOMP'96 | Physica D120 (1998) 177-187 | 10.1016/S0167-2789(98)00053-0 | null | quant-ph | null | There had been well known claims of unconditionally secure quantum protocols
for bit commitment. However, we, and independently Mayers, showed that all
proposed quantum bit commitment schemes are, in principle, insecure because the
sender, Alice, can almost always cheat successfully by using an
Einstein-Podolsky-Rosen (EPR) type of attack and delaying her measurements. One
might wonder if secure quantum bit commitment protocols exist at all. We answer
this question by showing that the same type of attack by Alice will, in
principle, break any bit commitment scheme. The cheating strategy generally
requires a quantum computer. We emphasize the generality of this ``no-go
theorem'': Unconditionally secure bit commitment schemes based on quantum
mechanics---fully quantum, classical or quantum but with measurements---are all
ruled out by this result. Since bit commitment is a useful primitive for
building up more sophisticated protocols such as zero-knowledge proofs, our
results cast very serious doubt on the security of quantum cryptography in the
so-called ``post-cold-war'' applications. We also show that ideal quantum coin
tossing is impossible because of the EPR attack. This no-go theorem for ideal
quantum coin tossing may help to shed some lights on the possibility of
non-ideal protocols.
| [
{
"version": "v1",
"created": "Wed, 26 Nov 1997 08:02:11 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Lo",
"H. -K.",
""
],
[
"Chau",
"H. F.",
""
]
] |
quant-ph/9711066 | null | D.A. Trifonov (Institute for Nuclear Research, Sofia) | Barut-Girardello coherent states for u(p,q) and sp(N,R) and their
macroscopic superpositions | 29 pages, LaTex, 5 figures. Improvements in text, corrections in some
formulas. To appear in J. Phys. A, v. 31 | J.Phys.A31:5673-5696,1998 | 10.1088/0305-4470/31/26/008 | INRNE-TH-97/12 | quant-ph nucl-th | null | The Barut-Girardello coherent states (BG CS) representation is extended to
the noncompact algebras u(p,q) and sp(N,R) in (reducible) quadratic boson
realizations. The sp(N,R) BG CS take the form of multimode ordinary
Schr\"odinger cat states. Macroscopic superpositions of 2^{n-1} sp(N,R) CS (2^n
canonical CS, n=1,2,...) are pointed out which are overcomplete in the N-mode
Hilbert space and the relation between the canonical CS and the u(p,q) BG-type
CS representations is established. The sets of u(p,q) and sp(N,R) BG CS and
their discrete superpositions contain many states studied in quantum optics
(even and odd N-mode CS, pair CS) and provide an approach to quadrature
squeezing, alternative to that of intelligent states. New subsets of weakly and
strongly nonclassical states are pointed out and their statistical properties
(first- and second-order squeezing, photon number distributions) are discussed.
For specific values of the angle parameters and small amplitude of the
canonical CS components these states approaches multimode Fock states with one,
two or three bosons/photons. It is shown that eigenstates of a squared
non-Hermitian operator A^2 (generalized cat states) can exhibit squeezing of
the quadratures of A.
| [
{
"version": "v1",
"created": "Wed, 26 Nov 1997 10:24:10 GMT"
},
{
"version": "v2",
"created": "Tue, 2 Dec 1997 06:49:26 GMT"
},
{
"version": "v3",
"created": "Mon, 8 Jun 1998 06:28:39 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Trifonov",
"D. A.",
"",
"Institute for Nuclear Research, Sofia"
]
] |
quant-ph/9711067 | null | G. M. D'Ariano and M. F. Sacchi (Univ. of Pavia, Italy) | Optimized quantum-optical communications in the presence of loss | 23 pages, 9 figures, 1 table. To be published in Optics Communication | Opt. Comm. 149, 152 (1998). | 10.1016/S0030-4018(97)00688-3 | null | quant-ph | null | We consider the effect of loss on quantum-optical communication channels. The
channel based on direct detection of number states, which for a lossless
transmission line would achieve the ultimate quantum channel capacity, is
easily degraded by loss. The same holds true for the channel based on homodyne
detection of squeezed states, which also is very fragile to loss. On the
contrary, the ``classical'' channel based on heterodyne detection of coherent
states is loss-invariant. We optimize the a priori probability for the
squeezed-state and the number-state channels, taking the effect of loss into
account. In the low power regime we achieve a sizeable improvement of the
mutual information, and both the squeezed-state and the number-state channels
overcome the capacity of the coherent-state channel. In particular, the
squeezed-state channel beats the classical channel for total average number of
photons $N<8$. However, for sufficiently high power the classical channel
always performs as the best one. For the number-state channel we show that with
a loss $\eta\lesssim .6$ the optimized a priori probability departs from the
usual thermal-like behavior, and develops gaps of zero probability, with a
considerable improvement of the mutual information (up to 70 % of improvement
at low power for attenuation $\eta=.15$).
| [
{
"version": "v1",
"created": "Wed, 26 Nov 1997 15:35:30 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"D'Ariano",
"G. M.",
"",
"Univ. of Pavia, Italy"
],
[
"Sacchi",
"M. F.",
"",
"Univ. of Pavia, Italy"
]
] |
quant-ph/9711068 | Rui Vilela Mendes | R. Vilela Mendes and Ricardo Coutinho (Grupo de Fisica-Matematica,
Complexo Interdisciplinar, Univ. de Lisboa, Lisboa, Portugal) | On the computation of quantum characteristic exponents | 11 pages Latex, 4 ps-figures. Phys. Lett. A, to appear | Physics Letters A 239 (1998) 239 | 10.1016/S0375-9601(97)00931-6 | null | quant-ph | null | A quantum characteristic exponent may be defined, with the same operational
meaning as the classical Lyapunov exponent when the latter is expressed as a
functional of densities. Existence conditions and supporting measure properties
are discussed as well as the problems encountered in the numerical computation
of the quantum exponents. Although an example of true quantum chaos may be
exhibited, the taming effect of quantum mechanics on chaos is quite apparent in
the computation of the quantum exponents. However, even when the exponents
vanish, the functionals used for their definition may still provide a
characterization of distinct complexity classes for quantum behavior.
| [
{
"version": "v1",
"created": "Wed, 26 Nov 1997 15:41:09 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Mendes",
"R. Vilela",
"",
"Grupo de Fisica-Matematica,\n Complexo Interdisciplinar, Univ. de Lisboa, Lisboa, Portugal"
],
[
"Coutinho",
"Ricardo",
"",
"Grupo de Fisica-Matematica,\n Complexo Interdisciplinar, Univ. de Lisboa, Lisboa, Portugal"
]
] |
quant-ph/9711069 | Adrian Kent | Adrian Kent | Quantum Bit Commitment from a Computation Bound | Withdrawn | null | null | DAMTP/97-135 | quant-ph | null | This paper is withdrawn. See quant-ph/9806031 for a discussion.
| [
{
"version": "v1",
"created": "Wed, 26 Nov 1997 23:34:37 GMT"
},
{
"version": "v2",
"created": "Thu, 27 Nov 1997 23:49:32 GMT"
},
{
"version": "v3",
"created": "Fri, 20 Aug 1999 16:57:18 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Kent",
"Adrian",
""
]
] |
quant-ph/9711070 | Christof Zalka | Christof Zalka (T-6 LANL USA) | Grover's quantum searching algorithm is optimal | 13 pages, LaTeX, essentially published version | Phys.Rev. A60 (1999) 2746-2751 | 10.1103/PhysRevA.60.2746 | null | quant-ph | null | I improve the tight bound on quantum searching by Boyer et al.
(quant-ph/9605034) to a matching bound, thus showing that for any probability
of success Grovers quantum searching algorithm is optimal. E.g. for near
certain success we have to query the oracle pi/4 sqrt{N} times, where N is the
size of the search space. I also show that unfortunately quantum searching
cannot be parallelized better than by assigning different parts of the search
space to independent quantum computers. Earlier results left open the
possibility of a more efficient parallelization.
| [
{
"version": "v1",
"created": "Wed, 26 Nov 1997 23:34:22 GMT"
},
{
"version": "v2",
"created": "Thu, 2 Dec 1999 17:45:26 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Zalka",
"Christof",
"",
"T-6 LANL USA"
]
] |
quant-ph/9711071 | Konstantin Krutitsky | Konstantin Krutitsky and Juergen Audretsch (Fakultaet fuer Physik,
Universitaet Konstanz, Germany) | Surface effects influencing the single-atom spontaneous emission in a
linear atomic chain | 20 pages, LaTeX, 4 eps figures, submitted to J.Phys.B | J.Phys.B 31(11), 2633-2647 (1998) | 10.1088/0953-4075/31/11/022 | KONS-RGKU-97-08 | quant-ph cond-mat | null | As a contribution to quantum optics in the vicinity of surfaces we study the
single atom spontaneous emission in a linear chain of two-level atoms. The
electromagnetic field is thereby treated with the help of integro-differential
equations which take into account the interaction with the other atoms in the
chain. The life time of the excited atom, the frequency shift of the atomic
transition and the angular distribution of emitted photons are worked out. They
depend on the position of the emitting atom. As compared with the single atom
in free space, considerable modifications occur for atoms a few interatomic
distances away from the ends of the chain.
| [
{
"version": "v1",
"created": "Fri, 28 Nov 1997 14:34:26 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Krutitsky",
"Konstantin",
"",
"Fakultaet fuer Physik,\n Universitaet Konstanz, Germany"
],
[
"Audretsch",
"Juergen",
"",
"Fakultaet fuer Physik,\n Universitaet Konstanz, Germany"
]
] |
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