Quantum relative entropy: general convergence criterion and preservation of convergence under completely positive linear maps

M. E. Shirokov

doi:10.4213/sm9794

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arXiv · 2205.10341

Quantum relative entropy: general convergence criterion and preservation of convergence under completely positive linear maps

M. E. Shirokov

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Abstract

A criterion and necessary conditions for convergence (local continuity) of the quantum relative entropy are obtained. Some applications of these results are considered. In particular, the preservation of local continuity of the quantum relative entropy under completely positive linear maps is established.

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M. E. Shirokov. 2022-05-20. Quantum relative entropy: general convergence criterion and preservation of convergence under completely positive linear maps. https://doi.org/10.4213/sm9794

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