LOW ENTROPY OUTPUT STATES FOR PRODUCTS OF RANDOM UNITARY CHANNELS

DOI10.1142/S2010326312500189zbMath1270.15023arXiv1208.1449OpenAlexW2071515783MaRDI QIDQ4917795

Motohisa Fukuda, Ion Nechita, Benoit Collins

Publication date: 2 May 2013

Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.1449

zbMATH Keywords

eigenvaluerandom matricesquantum information theoryPoisson distributionMarchenko-Pastur distributionWeingarten calculusrandom unitary quantum channel

Mathematics Subject Classification ID

Random matrices (algebraic aspects) (15B52) Measures of information, entropy (94A17) Channel models (including quantum) in information and communication theory (94A40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (6)

Almost one bit violation for the additivity of the minimum output entropy ⋮ Additivity violation of quantum channels via strong convergence to semi-circular and circular elements ⋮ Asymptotically well-behaved input states do not violate additivity for conjugate pairs of random quantum channels ⋮ Estimates for compression norms and additivity violation in quantum information ⋮ \(J\)-states and quantum channels between indefinite metric spaces ⋮ Additivity rates and PPT property for random quantum channels

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