text: 306,256,1367038919116787713,1100602684317536256,Alvaro M. Alhambra,"A little bit of self-promotion today: <LINK>  We study some definitions of Renyi MI, and show some nice properties like a thermal area law. Potentially some of them can be approximated with TN or other variational methods! Also apologies to all the Shannon theory folks who will realize we (still) did not define the Renyi MI in the""right"" way (with the optimization over the marginal). 😅 @markwilde Thanks, that is good to hear! Yes, there is a lot of physics literature with that definition, and you really don't have to look for long to find situations where its for instance negative. @markwilde By the way, the result in your book showing that the ""geometric Renyi MI"" is H_0 for pure states really makes me think that it should be related to TN approximations for mixed states, but we were not able to make this precise. @lukyluke_t Thanks a lot Luca, I definitely missed these! As I understand it, in CFT the analytic continuation to n-&gt;1 means you can always calculate the vN entropy right? I'm still baffled that this works so well.",https://arxiv.org/abs/2103.01709,"The mutual information is a measure of classical and quantum correlations of great interest in quantum information. It is also relevant in quantum many-body physics, by virtue of satisfying an area law for thermal states and bounding all correlation functions. However, calculating it exactly or approximately is often challenging in practice. Here, we consider alternative definitions based on R\'enyi divergences. Their main advantage over their von Neumann counterpart is that they can be expressed as a variational problem whose cost function can be efficiently evaluated for families of states like matrix product operators while preserving all desirable properties of a measure of correlations. In particular, we show that they obey a thermal area law in great generality, and that they upper bound all correlation functions. We also investigate their behavior on certain tensor network states and on classical thermal distributions. ",Computable R\'enyi mutual information: Area laws and correlations,5,"['A little bit of self-promotion today: <LINK> \n\nWe study some definitions of Renyi MI, and show some nice properties like a thermal area law. Potentially some of them can be approximated with TN or other variational methods!', 'Also apologies to all the Shannon theory folks who will realize we (still) did not define the Renyi MI in the""right"" way (with the optimization over the marginal). 😅', ""@markwilde Thanks, that is good to hear! Yes, there is a lot of physics literature with that definition, and you really don't have to look for long to find situations where its for instance negative."", '@markwilde By the way, the result in your book showing that the ""geometric Renyi MI"" is H_0 for pure states really makes me think that it should be related to TN approximations for mixed states, but we were not able to make this precise.', ""@lukyluke_t Thanks a lot Luca, I definitely missed these! As I understand it, in CFT the analytic continuation to n-&gt;1 means you can always calculate the vN entropy right? I'm still baffled that this works so well.""]",21,03,1044