Base norms and discrimination of generalized quantum channels

Journal Article · Sat Feb 15 04:00:00 EST 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4863715· OSTI ID:22251020

Jenčová, A. ^[1]

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1. Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, Bratislava (Slovakia)

We introduce and study norms in the space of hermitian matrices, obtained from base norms in positively generated subspaces. These norms are closely related to discrimination of so-called generalized quantum channels, including quantum states, channels, and networks. We further introduce generalized quantum decision problems and show that the maximal average payoffs of decision procedures are again given by these norms. We also study optimality of decision procedures, in particular, we obtain a necessary and sufficient condition under which an optimal 1-tester for discrimination of quantum channels exists, such that the input state is maximally entangled.

• OSTI ID: 22251020
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 2 Vol. 55; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
HERMITIAN MATRIX
QUANTUM ENTANGLEMENT
QUANTUM STATES
SPACE