Operator extension of strong subadditivity of entropy

DOI10.1063/1.4769176zbMath1278.81042arXiv1210.5190OpenAlexW3102580681MaRDI QIDQ2872400

Isaac H. Kim

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5190

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (13)

A strengthened monotonicity inequality of quantum relative entropy: a unifying approach via Rényi relative entropy ⋮ On an inequality conjectured by Besenyei and Petz ⋮ Conditional mutual information and commutator ⋮ Yet another proof of the joint convexity of relative entropy ⋮ A new operator extension of strong subadditivity of quantum entropy ⋮ Partial subadditivity of entropies ⋮ OPERATOR QUASILINEARITY OF SOME FUNCTIONALS ASSOCIATED WITH DAVIS–CHOI–JENSEN’S INEQUALITY FOR POSITIVE MAPS ⋮ Approximate reversal of quantum Gaussian dynamics ⋮ Approximate reversal of quantum Gaussian dynamics ⋮ Remarks on Kim's strong subadditivity matrix inequality: Extensions and equality conditions ⋮ On quantum quasi-relative entropy ⋮ Inequalities for relative operator entropy in terms of Tsallis’ entropy ⋮ Recoverability from direct quantum correlations

Cites Work

• A finite entanglement entropy and the c-theorem
• Quasi-entropies for finite quantum systems
• Another short and elementary proof of strong subadditivity of quantum entropy
• A matrix convexity approach to some celebrated quantum inequalities
• Geometric entropy, area and strong subadditivity
• MONOTONICITY OF QUANTUM RELATIVE ENTROPY REVISITED

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