Criterion of Weak Compactness for Families of Generalized Ensembles and Its Corollaries

DOI10.1137/S0040585X97T987685zbMath1339.81014OpenAlexW2417734759MaRDI QIDQ2811900

M. E. Shirokov, Alexandr S. Holevo

Publication date: 8 June 2016

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97t987685

zbMATH Keywords

quantum statequantum channelbarycentric mapgeneralized quantum ensemble

Mathematics Subject Classification ID

Channel models (including quantum) in information and communication theory (94A40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16)

Cites Work

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• Quantum systems, channels, information. A mathematical introduction.
• On properties of the space of quantum states and their application to the construction of entanglement monotones
• Generalized compactness in linear spaces and its applications
• Entanglement-Assisted Capacities of Constrained Quantum Channels
• Continuous Ensembles and the Capacity of Infinite-Dimensional Quantum Channels
• Convex Analysis

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