Schatten class operators in a representation space of canonical commutation relations

DOI10.1134/S0081543820030116zbMath1445.81012OpenAlexW3048249069MaRDI QIDQ2193504

Alexandr S. Holevo

Publication date: 18 August 2020

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543820030116

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Canonical quantization (81S08)

Cites Work

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• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• Gaussian optimizers for entropic inequalities in quantum information
• Norms of quantum Gaussian multi-mode channels
• Sandwiched Rényi divergence satisfies data processing inequality
• On the asymptotics of eigenvalues and singular numbers of linear smoothing operators
• Traces and determinants of linear operators

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