Quantum conditional entropy for infinite-dimensional systems

Details Quantum conditional entropy for infinite-dimensional systems Quantum conditional entropy for infinite-dimensional systems

2010-04-26

arxiv.org/abs/1004.4519v2

Physics

Mathematical Physics

8 pages

Scientific paper

In this paper a general definition of quantum conditional entropy for infinite-dimensional systems is given based on recent work of Holevo and Shirokov arXiv:1004.2495 devoted to quantum mutual and coherent informations in the infinite-dimensional case. The properties of the conditional entropy such as monotonicity, concavity and subadditivity are also generalized to the infinite-dimensional case.

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