Fixed points of completely positive maps and their dual maps

DOI10.1186/S13660-022-02903-ZMaRDI QIDQ6062385

Yan-Ni Dou, Hai-Yan Zhang

Publication date: 30 November 2023

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

fixed pointcompact operatorquantum operationdual operation

Mathematics Subject Classification ID

Equations involving linear operators, with operator unknowns (47A62) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

• Fixed points of dual 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
• A note on fixed points of general quantum operations
• Toeplitz operators associated to commuting row contractions
• Fixed points of trace preserving completely positive maps
• Quantum Computation and Quantum Information
• Similarity and ergodic theory of positive linear maps
• Fixed points of quantum operations
• Characterizations of fixed points of quantum operations

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