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Quantum conditional entropy for infinite-dimensional systems

A. A. Kuznetsova
Arxiv ID: 1004.4519Last updated: 11/24/2021
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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