Contraction coefficients for noisy quantum channels

Journal Article · Fri Jan 15 00:00:00 EST 2016 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4936215· OSTI ID:22479616

Hiai, Fumio ^[1]

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1. Tohoku University, Hakusan 3-8-16-303, Abiko 270-1154 (Japan)

Generalized relative entropy, monotone Riemannian metrics, geodesic distance, and trace distance are all known to decrease under the action of quantum channels. We give some new bounds on, and relationships between, the maximal contraction for these quantities.

• OSTI ID: 22479616
• Journal Information: Journal of Mathematical Physics, Vol. 57, Issue 1; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DISTANCE
ENTROPY
METRICS