Necessary criterion for approximate recoverability (Q1991514)

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Language	Label	Description	Also known as
English	Necessary criterion for approximate recoverability	scientific article

Statements

scholarly article

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Necessary criterion for approximate recoverability (English)

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Annales Henri Poincaré

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publication date

30 October 2018

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full work available at URL

https://arxiv.org/abs/1705.06749

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MaRDI profile type

MaRDI publication profile

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A note on the transition probability over \(C^*\)-algebras

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Positive cones and \(L^p\)-spaces for von Neumann algebras

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Rényi divergences as weighted non-commutative vector-valued \(L_p\)-spaces

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Rényi generalizations of the conditional quantum mutual information

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The Fidelity of Recovery Is Multiplicative

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Relative entropy bounds on quantum, private and repeater capacities

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Entanglement of the antisymmetric state

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Elements of Information Theory

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Min- and Max-Relative Entropies and a New Entanglement Monotone

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Swiveled Rényi entropies

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Quantum conditional mutual information and approximate Markov chains

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Monotonicity of a relative Rényi entropy

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Min- and max-entropy in infinite dimensions

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Structure of states which satisfy strong subadditivity of quantum entropy with equality

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Robustness of quantum Markov chains

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Completely positive maps and entropy inequalities

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Strong converse exponent for classical-quantum channel coding

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Monotonicity of the quantum relative entropy under positive maps

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On quantum Rényi entropies: A new generalization and some properties

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Quasi-entropies for finite quantum systems

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Sufficient subalgebras and the relative entropy of states of a von Neumann algebra

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MONOTONICITY OF QUANTUM RELATIVE ENTROPY REVISITED

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SECURITY OF QUANTUM KEY DISTRIBUTION

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Approximate Quantum Markov Chains

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Multivariate trace inequalities

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Universal recovery map for approximate Markov chains

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Strengthened Monotonicity of Relative Entropy via Pinched Petz Recovery Map

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Quantum Information Processing with Finite Resources

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The ''transition probability'' in the state space of a \(^*\)-algebra

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Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory

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Recoverability in quantum information theory

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Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Rényi relative entropy

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Tight uniform continuity bounds for quantum entropies: conditional entropy, relative entropy distance and energy constraints

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00023-018-0715-1

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Sitelinks

Mathematics(1 entry)

mardi Publication:1991514

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