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

From MaRDI portal
Publication:328193

DOI10.1007/s00220-016-2609-8zbMath1348.81154arXiv1507.07775OpenAlexW1559699582WikidataQ57521738 ScholiaQ57521738MaRDI QIDQ328193

Andreas Winter

Publication date: 20 October 2016

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

Full work available at URL: https://arxiv.org/abs/1507.07775




Related Items (60)

Quasi-factorization and multiplicative comparison of subalgebra-relative entropyUniform continuity bound for sandwiched Rényi conditional entropyQuantum earth mover’s distance, a no-go quantum Kantorovich–Rubinstein theorem, and quantum marginal problemDecay of quantum conditional mutual information for purely generated finitely correlated statesEventually entanglement breaking Markovian dynamics: structure and characteristic timesConvergence rates for the quantum central limit theoremHeralded channel Holevo superadditivity bounds from entanglement monogamyOperator-valued Schatten spaces and quantum entropiesLocal lower bounds on characteristics of quantum and classical systemsSemi-quantum cryptographyAdvanced Alicki-Fannes-Winter method for energy-constrained quantum systems and its useOptimal uniform continuity bound for conditional entropy of classical-quantum statesAttainability and lower semi-continuity of the relative entropy of entanglement and variations on the themeCorrelation measures of a quantum state and information characteristics of a quantum channelAn Extension of Entanglement Measures for Pure StatesTight uniform continuity bounds for the quantum conditional mutual information, for the Holevo quantity, and for capacities of quantum channelsContinuity bounds on observational entropy and measured relative entropiesUpper bounds for the Holevo information quantity and their useOn the energy-constrained diamond norm and its application in quantum information theoryOn quantum optimal transportMatrix product states and the decay of quantum conditional mutual informationRelative entropy of steering: on its definition and propertiesAsymptotic state transformations of continuous variable resourcesAnalysis of a high-dimensional extended B92 protocolContinuity and additivity properties of information decompositionsClose-to-optimal continuity bound for the von Neumann entropy and other quasi-classical applications of the Alicki-Fannes-Winter techniqueOperational interpretation of the sandwiched Rényi divergence of order 1/2 to 1 as strong converse exponentsOn the relation between quantum Darwinism and approximate quantum MarkovianityAmortized entanglement of a quantum channel and approximately teleportation-simulable channelsHadamard quantum broadcast channelsUnnamed ItemSupercritical Poincaré-Andronov-Hopf bifurcation in a mean-field quantum laser equationConverse bounds for quantum and private communication over Holevo–Werner channelsOn quantum channels and operations preserving finiteness of the von Neumann entropyQuantum optimal transport with quantum channelsSquashed entanglement, \(\mathbf {k}\)-extendibility, quantum Markov chains, and recovery mapsOperator -norms and their useMaximum and minimum entropy states yielding local continuity boundsUniform continuity bounds for characteristics of multipartite quantum systemsSquashed entanglement and approximate private statesA bound on expectation values and variances of quantum observables via Rényi entropy and Tsallis entropyUniversal recovery maps and approximate sufficiency of quantum relative entropyNecessary criterion for approximate recoverabilityUniform finite-dimensional approximation of basic capacities of energy-constrained channelsStrassen's theorem for quantum couplingsEntanglement-assisted private communication over quantum broadcast channelsOn completion of the cone of completely positive linear maps with respect to the energy-constrained diamond normEnergy-constrained diamond norms and quantum dynamical semigroupsSquashed entanglement in infinite dimensionsAdaptation of the Alicki-Fannes-Winter method for the set of states with bounded energy and its useConvergence rates for quantum evolution and entropic continuity bounds in infinite dimensionsUniform continuity bounds for information characteristics of quantum channels depending on input dimension and on input energyQuantum broadcast channels with cooperating decoders: An information-theoretic perspective on quantum repeatersA converse to Lieb-Robinson bounds in one dimension using index theoryLower estimates for distances from a given quantum channel to certain classes of Quantum channelsRelative entropy for von Neumann subalgebrasWeak quantum correlation quantifiers with generalized entropiesUniversal random codes: capacity regions of the compound quantum multiple-access channel with one classical and one quantum senderA mean-field laser quantum master equationRefined diamond norm bounds on the emergence of objectivity of observables



Cites Work


This page was built for publication: Tight uniform continuity bounds for quantum entropies: conditional entropy, relative entropy distance and energy constraints