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Quantum conditional entropy for infinite-dimensional systems

Mathematical Physics 2021-11-24 v2 math.MP Quantum Physics

Abstract

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.

Keywords

Cite

@article{arxiv.1004.4519,
  title  = {Quantum conditional entropy for infinite-dimensional systems},
  author = {A. A. Kuznetsova},
  journal= {arXiv preprint arXiv:1004.4519},
  year   = {2021}
}

Comments

8 pages

R2 v1 2026-06-21T15:14:52.210Z