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Entropy inequalities
Authors:Huzihiro Araki  Elliott H Lieb
Institution:(1) Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan;(2) Department of Mathematics, Massachusetts Institute of Technology, 02139 Cambridge, Massachusetts, USA
Abstract:Some inequalities and relations among entropies of reduced quantum mechanical density matrices are discussed and proved. While these are not as strong as those available for classical systems they are nonetheless powerful enough to establish the existence of the limiting mean entropy for translationally invariant states of quantum continuous systems.Work supported by National Science Foundation Grant GP-9414.
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