Some characterizations of quantum channel in infinite Hilbert spaces

DOI10.1063/1.4878264zbMath1292.81009OpenAlexW1977229444MaRDI QIDQ5171375

Xiu-Hong Sun, Yuan Li

Publication date: 26 July 2014

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

Full work available at URL: https://doi.org/10.1063/1.4878264

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15) Vector-valued measures and integration (46G10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Channel models (including quantum) in information and communication theory (94A40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (1)

Generalized Choi-Kraus dilations of linear maps between matrix algebras

Cites Work

• Some properties of generalized quantum operations
• Entropy gain and the Choi-Jamiolkowski correspondence for infinite-dimensional quantum evolutions
• Fixed points of dual quantum operations
• General state changes in quantum theory
• Completely positive linear maps on complex matrices
• The range of generalized quantum operations
• Interpolation by completely positive maps
• Fixed points of quantum operations
• Noncommutative Poisson boundaries of unital quantum operations
• Characterizations of fixed points of quantum operations
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space

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