Majorization and additivity for multimode bosonic Gaussian channels

DOI10.1007/s11232-015-0262-6zbMath1317.81047arXiv1405.4066OpenAlexW1999024240WikidataQ59472462 ScholiaQ59472462MaRDI QIDQ2515665

A. Mari, Vittorio Giovannetti, Alexandr S. Holevo

Publication date: 6 August 2015

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

Full work available at URL: https://arxiv.org/abs/1405.4066

zbMATH Keywords

quantum information theoryclassical capacitygauge invarianceadditivityminimal output entropybosonic Gaussian communication channelgaussian optimizer

Mathematics Subject Classification ID

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

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Cites Work

• Mutual and coherent information for infinite-dimensional quantum channels
• Proof of an entropy conjecture of Wehrl
• Proof of an entropy conjecture for Bloch coherent spin states and its generalizations
• A solution of Gaussian optimizer conjecture for quantum channels
• Additivity properties of a Gaussian channel
• CONVEX OPERATOR FUNCTIONS
• COVARIANT AND CONTRAVARIANT SYMBOLS OF OPERATORS
• Error exponents for quantum channels with constrained inputs