The Choi-Jamiołkowski isomorphism and covariant quantum channels

DOI10.1007/S40509-021-00249-7MaRDI QIDQ6590123

Erkka Theodor Haapasalo

Publication date: 21 August 2024

Published in: Quantum Studies: Mathematics and Foundations (Search for Journal in Brave)

zbMATH Keywords

quantum channelscovariancecompletely positive mapsoperator algebras in quantum theory

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Tensor products of (C^*)-algebras (46L06) Operator algebra methods applied to problems in quantum theory (81R15) Applications of group representations to physics and other areas of science (20C35) Quantum theory (81-XX)

Cites Work

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• Conditional expectations in von Neumann algebras and a theorem of Takesaki
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• Theory of operator algebras. II
• Theory of operator algebras. III
• Sufficiency in quantum statistical inference
• Linear transformations which preserve trace and positive semidefiniteness of operators
• Quantum incompatibility of channels with general outcome operator algebras
• The Choi–Jamiolkowski forms of quantum Gaussian channels
• Covariant KSGNS construction and quantum instruments
• Theory of operator algebras I.

Related Items (1)

Infinite dimensional analogues of Choi matrices

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