On the constrained classical capacity of infinite-dimensional covariant quantum channels

DOI10.1063/1.4928050zbMath1330.81055arXiv1409.8085OpenAlexW3099029858MaRDI QIDQ2786608

Alexandr S. Holevo

Publication date: 15 February 2016

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

Full work available at URL: https://arxiv.org/abs/1409.8085

Mathematics Subject Classification ID

Quantum optics (81V80) Coherent states (81R30) 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) Quantum coding (general) (81P70)

Related Items (9)

Information capacity of continuous variable measurement channel ⋮ Coherent state coding approaches the capacity of non-Gaussian bosonic channels ⋮ Gaussian optimizers for entropic inequalities in quantum information ⋮ On the energy-constrained diamond norm and its application in quantum information theory ⋮ Covariant uniformly continuous quantum Markov semigroups ⋮ On classical capacity of Weyl channels ⋮ Quantum Gaussian maximizers and log-Sobolev inequalities ⋮ On the gain of entanglement assistance in the classical capacity of quantum Gaussian channels ⋮ On lower semicontinuity of the entropic disturbance and its applications in quantum information theory

Cites Work

• Quantum systems, channels, information. A mathematical introduction.
• Equivalence of additivity questions in quantum information theory
• Continuity of the von Neumann entropy
• A solution of Gaussian optimizer conjecture for quantum channels
• ADDITIVITY CONJECTURE AND COVARIANT CHANNELS
• Continuous Ensembles and the Capacity of Infinite-Dimensional Quantum Channels
• Error exponents for quantum channels with constrained inputs

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