A solution of Gaussian optimizer conjecture for quantum channels

DOI10.1007/s00220-014-2150-6zbMath1308.81046arXiv1312.2251OpenAlexW3104656332WikidataQ59472483 ScholiaQ59472483MaRDI QIDQ2258037

R. García-Patrón, Vittorio Giovannetti, Alexandr S. Holevo

Publication date: 2 March 2015

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

Full work available at URL: https://arxiv.org/abs/1312.2251

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) Quantum coding (general) (81P70)

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Cites Work

• A Mathematical Theory of Communication
• Quantum systems, channels, information. A mathematical introduction.
• On Shor's channel extension and constrained channels
• Majorization and additivity for multimode bosonic Gaussian channels
• Methods for Estimating Capacities and Rates of Gaussian Quantum Channels
• Generalized minimal output entropy conjecture for one-mode Gaussian channels: definitions and some exact results
• The semigroup structure of Gaussian channels
• Superadditivity of the convex closure of the output entropy of a quantum channel
• Quantum coding theorems
• The capacity of the quantum channel with general signal states
• Quantum information theory
• Additivity of the classical capacity of entanglement-breaking quantum channels
• Continuous Ensembles and the Capacity of Infinite-Dimensional Quantum Channels
• Error exponents for quantum channels with constrained inputs
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