Relative entropy and squashed entanglement

DOI10.1007/s00220-013-1871-2zbMath1315.81023arXiv1210.3181OpenAlexW3105797814WikidataQ57521896 ScholiaQ57521896MaRDI QIDQ2439694

Andreas Winter, Ke Li

Publication date: 17 March 2014

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

Full work available at URL: https://arxiv.org/abs/1210.3181

zbMATH Keywords

relative entropyentanglement

Mathematics Subject Classification ID

Quantum coherence, entanglement, quantum correlations (81P40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items

A strengthened monotonicity inequality of quantum relative entropy: a unifying approach via Rényi relative entropy, Quantum de Finetti theorems under local measurements with applications, Modulus of convexity for operator convex functions, Hierarchical Polygamy Inequality for Entanglement of Tsallisq-Entropy, Conditional mutual information and commutator, Continuity bounds on observational entropy and measured relative entropies, Asymptotic state transformations of continuous variable resources, Entanglement monogamy via multivariate trace inequalities, Squashed entanglement, \(\mathbf {k}\)-extendibility, quantum Markov chains, and recovery maps, Quantum conditional mutual information and approximate Markov chains, An improved semidefinite programming hierarchy for testing entanglement, Squashed entanglement in infinite dimensions, The squashed entanglement of the noiseless quantum Gaussian attenuator and amplifier, Feynman graphs and the large dimensional limit of multipartite entanglement

Cites Work

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• On the Chernoff distance for asymptotic LOCC discrimination of bipartite quantum states
• Equivalence of additivity questions in quantum information theory
• Faithful squashed entanglement
• A reversible theory of entanglement and its relation to the second law
• A generalization of quantum Stein's lemma
• Distinguishability of quantum states under restricted families of measurements with an application to quantum data hiding
• The proper formula for relative entropy and its asymptotics in quantum probability
• Completely positive maps and entropy inequalities
• Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory
• Continuity of relative entropy of entanglement
• Entanglement of the antisymmetric state
• Strong converse and Stein's lemma in quantum hypothesis testing
• Quantum entanglement
• Uncertainty, Monogamy, and Locking of Quantum Correlations
• Continuity of quantum conditional information
• Quantifying Entanglement
• Mixed-State Entanglement and Distillation: Is there a “Bound” Entanglement in Nature?
• Coding theorem and strong converse for quantum channels
• Tight Asymptotic Bounds on Local Hypothesis Testing Between a Pure Bipartite State and the White Noise State
• Unconditionally secure key agreement and the intrinsic conditional information
• Cryptographic distinguishability measures for quantum-mechanical states
• “Squashed entanglement”: An additive entanglement measure
• Optimal Quantum Source Coding With Quantum Side Information at the Encoder and Decoder
• Squashed Entanglement for Multipartite States and Entanglement Measures Based on the Mixed Convex Roof
• Separability of \(n\)-particle mixed states: necessary and sufficient conditions in terms of linear maps