Almost one bit violation for the additivity of the minimum output entropy

DOI10.1007/s00220-015-2561-zzbMath1333.81065arXiv1305.1567OpenAlexW3099228292MaRDI QIDQ2634682

Ion Nechita, Benoit Collins, Serban Teodor Belinschi

Publication date: 18 February 2016

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.1567

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Channel models (including quantum) in information and communication theory (94A40) Coding theorems (Shannon theory) (94A24) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (10)

Concentration estimates for random subspaces of a tensor product and application to quantum information theory ⋮ Additivity violation of the regularized minimum output entropy ⋮ Additivity violation of quantum channels via strong convergence to semi-circular and circular elements ⋮ Gelfand-Tsetlin polytopes and random contractions away from the limiting shape ⋮ Beyond islands: a free probabilistic approach ⋮ Moment methods on compact groups: Weingarten calculus and its applications ⋮ Revisiting additivity violation of quantum channels ⋮ Entanglement and the Temperley-Lieb category ⋮ Random positive operator valued measures ⋮ Asymptotically well-behaved input states do not violate additivity for conjugate pairs of random quantum channels

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