Relative entropy between quantum ensembles

DOI10.1007/s10998-009-0223-7zbMath1221.62160OpenAlexW1995328798MaRDI QIDQ624243

Sumit K. Garg

Publication date: 8 February 2011

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-009-0223-7

zbMATH Keywords

couplingquantum relative entropyquantumnessquantum ensemblesvon Neumann measurements

Mathematics Subject Classification ID

Applications of statistics to physics (62P35) Quantum measurement theory, state operations, state preparations (81P15) Applications of quantum theory to specific physical systems (81V99) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10)

Related Items

Quantumness of pure-state ensembles via coherence of Gram matrix based on generalized \(\alpha\)-\(z\)-relative Rényi entropy ⋮ Quantumness-generating capability of quantum dynamics ⋮ Quantumness of quantum ensembles ⋮ How quantum is a quantum ensemble? ⋮ Quantum discord of ensemble of quantum states ⋮ Quantumness of ensembles via coherence ⋮ Quantifying the quantumness of ensembles via generalized \(\alpha\)-\(z\)-relative Rényi entropy ⋮ Gram matrices of mixed-state ensembles ⋮ Quantifying the quantumness of an ensemble of quantum states

Cites Work

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• All inequalities for the relative entropy
• Completely positive maps and entropy inequalities
• Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory
• Structure of states which satisfy strong subadditivity of quantum entropy with equality
• Uniform estimates on the Tsallis entropies
• The role of relative entropy in quantum information theory
• MONOTONICITY OF QUANTUM RELATIVE ENTROPY REVISITED
• Inequalities for quantum entropy: A review with conditions for equality
• QUANTUMNESS OF ENSEMBLE FROM NO-BROADCASTING PRINCIPLE
• Conditional expectation in an operator algebra. IV. Entropy and information
• On Information and Sufficiency

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