Compactness criterion for families of quantum operations in the strong convergence topology and its applications
arXiv:2307.13694 · doi:10.1134/S1995080224603151
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.
arXiv comment30 pages, any comments and references are welcome
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