On the gain of entanglement assistance in the classical capacity of quantum Gaussian channels

DOI10.1134/S0001434615050363zbMath1323.81014OpenAlexW2298559978MaRDI QIDQ745650

Alexandr S. Holevo, M. E. Shirokov

Publication date: 14 October 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434615050363

zbMATH Keywords

entropyWeyl operatorsymplectic spacequantum statequantum information transmissionclassical entanglement-assisted channel capacityclassical unassisted channel capacityGaussian minimizerquantum Gaussian channel

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Channel models (including quantum) in information and communication theory (94A40) Quantum coherence, entanglement, quantum correlations (81P40) Coding theorems (Shannon theory) (94A24) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum coding (general) (81P70)

Cites Work

• Mutual and coherent information for infinite-dimensional quantum channels
• A solution of Gaussian optimizer conjecture for quantum channels
• On the constrained classical capacity of infinite-dimensional covariant quantum channels
• Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem

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