Entropy Inequalities

Huzihiro Araki and Elliott H. Lieb
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Huzihiro Araki: Kyoto University, Research Institute for Mathematical Sciences
Elliott H. Lieb: Massachusetts Institute of Technology, Department of Mathematics

A chapter in Inequalities, 2002, pp 47-57 from Springer

Abstract: 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.

Keywords: Density Matrix; Disjoint Union; Spectral Decomposition; Invariant State; Selfadjoint Operator (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55925-9_4

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DOI: 10.1007/978-3-642-55925-9_4

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