Continuity of the relative entropy of resource

DOI10.1142/S0219749924400094MaRDI QIDQ6631657

M. E. Shirokov, Ludovico Lami

Publication date: 1 November 2024

Published in: International Journal of Quantum Information (Search for Journal in Brave)

zbMATH Keywords

quantum statequantum channelquantum relative entropyfree staterelative entropy of \(\pi \)-entanglementweak*-topology on the set of trace class operators

Mathematics Subject Classification ID

Quantum theory (81-XX)

Cites Work

• Tight uniform continuity bounds for quantum entropies: conditional entropy, relative entropy distance and energy constraints
• Quantum systems, channels, information. A mathematical introduction.
• A reversible theory of entanglement and its relation to the second law
• A generalization of quantum Stein's lemma
• The proper formula for relative entropy and its asymptotics in quantum probability
• Expectations and entropy inequalities for finite quantum systems
• Continuity of relative entropy of entanglement
• Convergence conditions for the quantum relative entropy and other applications of the deneralized quantum Dini lemma
• MAX-RELATIVE ENTROPY OF ENTANGLEMENT, ALIAS LOG ROBUSTNESS
• Quantifying Entanglement
• Operator monotones, the reduction criterion and the relative entropy
• Quantum information theory
• Convergence criterion for quantum relative entropy and its use

Related Items (1)

On local continuity of characteristics of composite quantum systems

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