Single-shot discrimination of quantum unitary processes

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Authors

ZIMAN Mário SEDLÁK Michal

Year of publication 2010
Type Article in Periodical
Magazine / Source Journal of Modern Optics
MU Faculty or unit

Faculty of Informatics

Citation
Web http://www.informaworld.com/smpp/content~content=a916357685~db=all~jumptype=rss
Field Informatics
Keywords Quantum processes; minimum-error discrimination; unambiguous discrimination
Description We formulate minimum-error and unambiguous discrimination problems for quantum processes in the language of process positive operator valued measures (PPOVM). In this framework we present the known solution for minimum-error discrimination of unitary channels. We derive a 'fidelity-like' lower bound on the failure probability of the unambiguous discrimination of arbitrary quantum processes. This bound is saturated (in a certain range of a priori probabilities) in the case of unambiguous discrimination of unitary channels. Surprisingly, the optimal solution for both tasks is based on the optimization of the same quantity called completely bounded process fidelity.
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