Fixed points of trace preserving completely positive maps

DOI10.1080/03081087.2015.1043718zbMath1353.46045OpenAlexW1574043211MaRDI QIDQ2787605

Mingzhi Xue, Hai-Yan Zhang

Publication date: 4 March 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2015.1043718

zbMATH Keywords

fixed pointcompletely positive maptrace preserving

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (1)

Fixed points of completely positive maps and their dual maps

Cites Work

• A class of general quantum operations
• General state changes in quantum theory
• Fixed points of normal completely positive maps on B\((\mathcal H)\)
• Completely positive linear maps on complex matrices
• Normality and fixed points associated to commutative row contractions
• A note on fixed points of general quantum operations
• Toeplitz operators associated to commuting row contractions
• Fixed points for Lüders operations and commutators
• Fixed points of commutative super-operators
• On spectra of Lüders operations
• Fixed points of quantum operations
• Characterizations of fixed points of quantum operations

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