Entropy of Completely Positive Maps and Applications to Quantum Information Theory

DOI10.1007/978-3-319-31756-4_4zbMATH Open1381.46052OpenAlexW2486312152MaRDI QIDQ5349024

Ichiro Fujimoto

Publication date: 22 August 2017

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-31756-4_4

zbMATH Keywords

entanglementcompletely positive mapCP-convexity

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Quantum coherence, entanglement, quantum correlations (81P40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (7)

Completely positive completely positive maps (and a resource theory for non-negativity of quantum amplitudes) ⋮ Completely Reducible Maps in Quantum Information Theory ⋮ Fermionic quasifree states and maps in information theory ⋮ Entropy-preserving maps on quantum states ⋮ Universal recovery maps and approximate sufficiency of quantum relative entropy ⋮ Monotonicity of the quantum relative entropy under positive maps ⋮ Comparison of information structures and completely positive maps

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