Contraction of Generalized Relative Entropy Under Stochastic Mappings on Matrices
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Publication:4213949
DOI10.1142/S0219025798000077zbMath0917.94006MaRDI QIDQ4213949
Publication date: 26 October 1998
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
full matrix algebrasinformation divergencecontraction coefficientgeneralized relative entropyquantum mechanical modelstochastic mappings
General quantum mechanics and problems of quantization (81S99) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99) Measures of information, entropy (94A17)
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Cites Work
- Concavity of certain maps on positive definite matrices and applications to Hadamard products
- The proper formula for relative entropy and its asymptotics in quantum probability
- Relative entropy under mappings by stochastic matrices
- Equivalence of certain entropy contraction coefficients
- Monotone metrics on matrix spaces
- Some operator inequalities of the Schwarz type
- BEYOND STRONG SUBADDITIVITY? IMPROVED BOUNDS ON THE CONTRACTION OF GENERALIZED RELATIVE ENTROPY
- Geometries of quantum states
- Conditional expectation in an operator algebra. IV. Entropy and information
