On conditions for an operator to be in the class

DOI10.1070/RM9898zbMath1444.47035OpenAlexW3007809329MaRDI QIDQ5112454

Alexandr S. Holevo

Publication date: 29 May 2020

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9898

zbMATH Keywords

canonical commutation relationsSchatten-von Neumann ideals

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items

Extreme points of the set of quantum states with bounded energy

Cites Work

• Gaussian optimizers and the additivity problem in quantum information theory
• 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
• On the asymptotics of eigenvalues and singular numbers of linear smoothing operators
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