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arXiv · 2307.13694

Compactness criterion for families of quantum operations in the strong convergence topology and its applications

M. E. Shirokov
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Abstract

A revised version of the compactness criterion for families of quantum operations in the strong convergence topology (obtained previously) is presented, along with a more detailed proof and the examples showing the necessity of this revision. Several criteria for the existence of a limit point of a sequence of quantum operations w.r.t. the strong convergence are obtained and discussed. Applications in different areas of quantum information theory are described.

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M. E. Shirokov. 2023-07-25. Compactness criterion for families of quantum operations in the strong convergence topology and its applications. https://doi.org/10.1134/s1995080224603151

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