Constructive counterexamples to the additivity of the minimum output Rényi entropy of quantum channels for allp> 2

DOI10.1088/1751-8113/43/42/425304zbMath1201.81026arXiv0911.2515OpenAlexW3101348211MaRDI QIDQ3053223

Andrzej Grudka, Łukasz Pańkowski, Michał Horodecki

Publication date: 4 November 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.2515

Mathematics Subject Classification ID

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 (14)

Weak multiplicativity for random quantum channels ⋮ Almost one bit violation for the additivity of the minimum output entropy ⋮ An algorithm to explore entanglement in small systems ⋮ Additivity violation of the regularized minimum output entropy ⋮ Highly entangled, non-random subspaces of tensor products from quantum groups ⋮ Lower bound on entanglement in subspaces defined by Young diagrams ⋮ Revisiting additivity violation of quantum channels ⋮ Entanglement and the Temperley-Lieb category ⋮ Random matrix techniques in quantum information theory ⋮ Estimates for compression norms and additivity violation in quantum information ⋮ Nonadditivity of Rényi entropy and Dvoretzky’s theorem ⋮ The PPT square conjecture holds generically for some classes of independent states ⋮ Potential output purity of completely positive maps ⋮ Additivity rates and PPT property for random quantum channels

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