Optimal measurement preserving qubit channels

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We consider the problem of discriminating qubit states that are sent over a quantum channel and derive a necessary and sufficient condition for an optimal measurement to be preserved by the channel. We apply the result to the characterization of optimal measurement preserving (OMP) channels for a given qubit ensemble, e.g., a set of two states or a set of multiple qubit states with equal a priori probabilities. Conversely, we also characterize qubit ensembles for which a given channel is OMP, such as unitary and depolarization channels. Finally, we show how the sets of OMP channels for a given ensemble can be constructed.
Publisher
IOP PUBLISHING LTD
Issue Date
2020-12
Language
English
Article Type
Article
Citation

NEW JOURNAL OF PHYSICS, v.22, no.12

ISSN
1367-2630
DOI
10.1088/1367-2630/abcc9b
URI
http://hdl.handle.net/10203/281337
Appears in Collection
EE-Journal Papers(저널논문)
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