Infinite dimensional generalizations of Choi's theorem

DOI10.1515/spma-2019-0006zbMath1443.46031arXiv1806.06938OpenAlexW2962972047WikidataQ127462076 ScholiaQ127462076MaRDI QIDQ2302864

Shmuel Friedland

Publication date: 26 February 2020

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.06938

zbMATH Keywords

quantum channelscompletely positive mapsChoi's theoremtrace class operatorsStinespring's dilation theoremHellwig-Kraus representationquantum subchannels

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Applications of functional analysis in quantum physics (46N50) Channel models (including quantum) in information and communication theory (94A40)

Related Items (2)

Choi matrices revisited. II ⋮ Quantum Strassen’s theorem

Cites Work

• On the extreme points of quantum channels
• Entropy gain and the Choi-Jamiolkowski correspondence for infinite-dimensional quantum evolutions
• General state changes in quantum theory
• Completely positive linear maps on complex matrices
• Pure operations and measurements
• The Theory of Quantum Information
• The analogue of Choi matrices for a class of linear maps on Von Neumann algebras
• Positive Functions on C ∗ -Algebras
• \(C^*\)-algebras by example
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