IEEE Transactions on Information Theory, ISSN 0018-9448, 03/2017, Volume 63, Issue 3, pp. 1792 - 1817

This paper establishes several converse bounds on the private transmission capabilities of a quantum channel. The main conceptual development builds firmly on...

Protocols | Quantum entanglement | privacy test | Bipartite private state | Receivers | phase-insensitive bosonic Gaussian channel | Entropy | tripartite key state | Privacy | Upper bound | secret key transmission | relative entropy of entanglement | meta-converse | Secret key transmission | Phase-insensitive bosonic Gaussian channel | Tripartite key state | Meta-converse | Privacy test | Relative entropy of entanglement | KEY DISTRIBUTION | COMPUTER SCIENCE, INFORMATION SYSTEMS | CLASSICAL CAPACITY | STATE | TELEPORTATION | ENGINEERING, ELECTRICAL & ELECTRONIC | RATES | ENTANGLEMENT-BREAKING | 2ND-ORDER ASYMPTOTICS | RELATIVE ENTROPIES | SQUASHED ENTANGLEMENT | ERROR | Usage | Cryptography | Entropy (Information theory) | Analysis | Upper bounds | Entanglement | Quantum cryptography | Channels | Communication

Protocols | Quantum entanglement | privacy test | Bipartite private state | Receivers | phase-insensitive bosonic Gaussian channel | Entropy | tripartite key state | Privacy | Upper bound | secret key transmission | relative entropy of entanglement | meta-converse | Secret key transmission | Phase-insensitive bosonic Gaussian channel | Tripartite key state | Meta-converse | Privacy test | Relative entropy of entanglement | KEY DISTRIBUTION | COMPUTER SCIENCE, INFORMATION SYSTEMS | CLASSICAL CAPACITY | STATE | TELEPORTATION | ENGINEERING, ELECTRICAL & ELECTRONIC | RATES | ENTANGLEMENT-BREAKING | 2ND-ORDER ASYMPTOTICS | RELATIVE ENTROPIES | SQUASHED ENTANGLEMENT | ERROR | Usage | Cryptography | Entropy (Information theory) | Analysis | Upper bounds | Entanglement | Quantum cryptography | Channels | Communication

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 5/2017, Volume 352, Issue 1, pp. 37 - 58

We prove several trace inequalities that extend the Golden–Thompson and the Araki–Lieb–Thirring inequality to arbitrarily many matrices. In particular, we...

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | RELATIVE ENTROPY | LIEB | QUANTUM-MECHANICAL ENTROPY | GOLDEN-THOMPSON INEQUALITY | PHYSICS, MATHEMATICAL | ALGEBRA | Atoms

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | RELATIVE ENTROPY | LIEB | QUANTUM-MECHANICAL ENTROPY | GOLDEN-THOMPSON INEQUALITY | PHYSICS, MATHEMATICAL | ALGEBRA | Atoms

Journal Article

IEEE Transactions on Information Theory, ISSN 0018-9448, 04/2016, Volume 62, Issue 4, pp. 1758 - 1763

Fawzi and Renner recently established a lower bound on the conditional quantum mutual information (CQMI) of tripartite quantum states ABC in terms of the...

Minimization | Correlation | Entropy | Quantum entanglement | Quantum Mechanics | Information theory | Quantum Entanglement | Information Theory | entropy | OPTIMAL QUANTUM | Quantum mechanics | quantum entanglement | SQUASHED ENTANGLEMENT | COMPUTER SCIENCE, INFORMATION SYSTEMS | CONDITIONAL MUTUAL INFORMATION | information theory | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Mathematical optimization | Entropy (Information theory)

Minimization | Correlation | Entropy | Quantum entanglement | Quantum Mechanics | Information theory | Quantum Entanglement | Information Theory | entropy | OPTIMAL QUANTUM | Quantum mechanics | quantum entanglement | SQUASHED ENTANGLEMENT | COMPUTER SCIENCE, INFORMATION SYSTEMS | CONDITIONAL MUTUAL INFORMATION | information theory | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Mathematical optimization | Entropy (Information theory)

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 11/2017, Volume 355, Issue 3, pp. 1283 - 1315

We analyse families of codes for classical data transmission over quantum channels that have both a vanishing probability of error and a code rate approaching...

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | CAPACITY | STRONG CONVERSE | 2ND-ORDER ASYMPTOTICS | THEOREM | BOUNDS | INFORMATION | PHYSICS, MATHEMATICAL | RELIABILITY FUNCTION | Atoms | Analysis

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | CAPACITY | STRONG CONVERSE | 2ND-ORDER ASYMPTOTICS | THEOREM | BOUNDS | INFORMATION | PHYSICS, MATHEMATICAL | RELIABILITY FUNCTION | Atoms | Analysis

Journal Article

5.
Full Text
Correlation detection and an operational interpretation of the Rényi mutual information

Journal of Mathematical Physics, ISSN 0022-2488, 10/2016, Volume 57, Issue 10, p. 102201

A variety of new measures of quantum Rényi mutual information and quantum Rényi conditional entropy have recently been proposed, and some of their mathematical...

EXPONENTS | STRONG CONVERSE | 2ND-ORDER ASYMPTOTICS | QUANTUM | CLASSICAL CAPACITY | SPECTRUM APPROACH | PHYSICS, MATHEMATICAL | ENTROPY | Hypothesis testing | Null hypothesis | Hypotheses | Mean square errors | Entropy (Information theory) | Entropy | Correlation detection

EXPONENTS | STRONG CONVERSE | 2ND-ORDER ASYMPTOTICS | QUANTUM | CLASSICAL CAPACITY | SPECTRUM APPROACH | PHYSICS, MATHEMATICAL | ENTROPY | Hypothesis testing | Null hypothesis | Hypotheses | Mean square errors | Entropy (Information theory) | Entropy | Correlation detection

Journal Article

IEEE Transactions on Information Theory, ISSN 0018-9448, 02/2018, Volume 64, Issue 2, pp. 1064 - 1082

We revisit the problem of asymmetric binary hypothesis testing against a composite alternative hypothesis. We introduce a general framework to treat such...

Correlation | strong converse exponent | conditional entropy | Entropy | Decoding | conditional mutual information | Rényi divergence | Composite hypothesis testing | second order | error exponent | Markov processes | Random variables | Mutual information | Testing | Second order | Strong converse exponent | Conditional entropy | Conditional mutual information | Error exponent | STRONG CONVERSE | UNIVERSAL | THEOREM | COMPUTER SCIENCE, INFORMATION SYSTEMS | BROADCAST CHANNELS | SPECTRUM APPROACH | ENGINEERING, ELECTRICAL & ELECTRONIC | Renyi divergence | mutual information | Statistical hypothesis testing | Usage | Entropy (Information theory) | Analysis | Lattice theory | Exponents | Axioms | Communication channels

Correlation | strong converse exponent | conditional entropy | Entropy | Decoding | conditional mutual information | Rényi divergence | Composite hypothesis testing | second order | error exponent | Markov processes | Random variables | Mutual information | Testing | Second order | Strong converse exponent | Conditional entropy | Conditional mutual information | Error exponent | STRONG CONVERSE | UNIVERSAL | THEOREM | COMPUTER SCIENCE, INFORMATION SYSTEMS | BROADCAST CHANNELS | SPECTRUM APPROACH | ENGINEERING, ELECTRICAL & ELECTRONIC | Renyi divergence | mutual information | Statistical hypothesis testing | Usage | Entropy (Information theory) | Analysis | Lattice theory | Exponents | Axioms | Communication channels

Journal Article

PHYSICAL REVIEW LETTERS, ISSN 0031-9007, 04/2019, Volume 122, Issue 14, p. 140401

We formally extend the notion of Markov order to open quantum processes by accounting for the instruments used to probe the system of interest at different...

REDUCED DENSITY-MATRICES | STATES | TENSOR PROPAGATOR | TIME EVOLUTION | PHYSICS, MULTIDISCIPLINARY | ENTROPY | Markov processes | Sequences | Markov analysis | Stochastic processes | Physics - Quantum Physics

REDUCED DENSITY-MATRICES | STATES | TENSOR PROPAGATOR | TIME EVOLUTION | PHYSICS, MULTIDISCIPLINARY | ENTROPY | Markov processes | Sequences | Markov analysis | Stochastic processes | Physics - Quantum Physics

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 12/2013, Volume 54, Issue 12, p. 122203

htmlabstractThe Rényi entropies constitute a family of information measures that generalizes the well-known Shannon entropy, inheriting many of its properties....

LIEB | INEQUALITIES | RELATIVE ENTROPIES | PHYSICS, MATHEMATICAL | Data processing | Properties (attributes) | Entropy | Entropy (Information theory) | Information theory | Cases (containers) | DATA PROCESSING | INFORMATION THEORY | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ENTROPY

LIEB | INEQUALITIES | RELATIVE ENTROPIES | PHYSICS, MATHEMATICAL | Data processing | Properties (attributes) | Entropy | Entropy (Information theory) | Information theory | Cases (containers) | DATA PROCESSING | INFORMATION THEORY | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ENTROPY

Journal Article

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A Hierarchy of Information Quantities for Finite Block Length Analysis of Quantum Tasks

IEEE Transactions on Information Theory, ISSN 0018-9448, 11/2013, Volume 59, Issue 11, pp. 7693 - 7710

We consider two fundamental tasks in quantum information theory, data compression with quantum side information, as well as randomness extraction against...

Finite block length | Protocols | Entropy | information spectrum | one-shot entropies | Channel coding | source compression | randomness extraction | Quantum mechanics | second-order asymptotics | quantum side information | Random variables | Testing | CAPACITY | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENTROPIES | SPECTRUM APPROACH | STEINS LEMMA | ENGINEERING, ELECTRICAL & ELECTRONIC | ASYMPTOTICS | Research | Entropy (Information theory) | Analysis | Data compression | Physics - Quantum Physics

Finite block length | Protocols | Entropy | information spectrum | one-shot entropies | Channel coding | source compression | randomness extraction | Quantum mechanics | second-order asymptotics | quantum side information | Random variables | Testing | CAPACITY | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENTROPIES | SPECTRUM APPROACH | STEINS LEMMA | ENGINEERING, ELECTRICAL & ELECTRONIC | ASYMPTOTICS | Research | Entropy (Information theory) | Analysis | Data compression | Physics - Quantum Physics

Journal Article

Nature Communications, ISSN 2041-1723, 05/2016, Volume 7, Issue 1, p. 11419

The quantum capacity of a memoryless channel determines the maximal rate at which we can communicate reliably over asymptotically many uses of the channel....

CONVERSE | TRANSMISSION | 2ND-ORDER ASYMPTOTICS | CHANNEL | BOUNDS | ENTANGLEMENT | MULTIDISCIPLINARY SCIENCES | CLASSICAL CAPACITY | STATE | PROGRAM

CONVERSE | TRANSMISSION | 2ND-ORDER ASYMPTOTICS | CHANNEL | BOUNDS | ENTANGLEMENT | MULTIDISCIPLINARY SCIENCES | CLASSICAL CAPACITY | STATE | PROGRAM

Journal Article

IEEE Transactions on Information Theory, ISSN 0018-9448, 01/2017, Volume 63, Issue 1, pp. 715 - 727

We revisit a fundamental open problem in quantum information theory, namely, whether it is possible to transmit quantum information at a rate exceeding the...

generalized dephasing channels | Rain | Upper bound | Quantum entanglement | Communication systems | Channel capacity | strong converse | Entropy | quantum communication | Rains relative entropy | COMPUTER SCIENCE, INFORMATION SYSTEMS | CLASSICAL CAPACITY | STATE ENTANGLEMENT | ENGINEERING, ELECTRICAL & ELECTRONIC | TRANSMISSION | 2ND-ORDER ASYMPTOTICS | CHANNEL | SEPARABILITY | CODING THEOREM | REDUCTION CRITERION | Usage | Research | Entropy (Information theory) | Quantum theory | Decoding | Channels | Quantum phenomena | Information theory | Communication

generalized dephasing channels | Rain | Upper bound | Quantum entanglement | Communication systems | Channel capacity | strong converse | Entropy | quantum communication | Rains relative entropy | COMPUTER SCIENCE, INFORMATION SYSTEMS | CLASSICAL CAPACITY | STATE ENTANGLEMENT | ENGINEERING, ELECTRICAL & ELECTRONIC | TRANSMISSION | 2ND-ORDER ASYMPTOTICS | CHANNEL | SEPARABILITY | CODING THEOREM | REDUCTION CRITERION | Usage | Research | Entropy (Information theory) | Quantum theory | Decoding | Channels | Quantum phenomena | Information theory | Communication

Journal Article

IEEE Transactions on Information Theory, ISSN 0018-9448, 05/2016, Volume 62, Issue 5, pp. 2907 - 2913

The quantum relative entropy between two states satisfies a monotonicity property meaning that applying the same quantum channel to both states can never...

quantum Markov chains | Density measurement | Monotonicity of relative entropy | recoverability | pinching maps | Entropy | Loss measurement | Eigenvalues and eigenfunctions | Relativistic quantum mechanics | Electronic mail | STATES | QUANTUM | COMPUTER SCIENCE, INFORMATION SYSTEMS | CONDITIONAL MUTUAL INFORMATION | ASYMPTOTICS | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Research | Convex programming | Telecommunication systems | Entropy (Information theory) | Analysis

quantum Markov chains | Density measurement | Monotonicity of relative entropy | recoverability | pinching maps | Entropy | Loss measurement | Eigenvalues and eigenfunctions | Relativistic quantum mechanics | Electronic mail | STATES | QUANTUM | COMPUTER SCIENCE, INFORMATION SYSTEMS | CONDITIONAL MUTUAL INFORMATION | ASYMPTOTICS | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Research | Convex programming | Telecommunication systems | Entropy (Information theory) | Analysis

Journal Article

Physical Review Letters, ISSN 0031-9007, 03/2019, Volume 122, Issue 11, p. 110403

We identify and explore the intriguing property of resource resonance arising within resource theories of entanglement, coherence, and thermodynamics. While...

2ND-ORDER ASYMPTOTICS | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | Size effects | Entanglement | Quantum phenomena

2ND-ORDER ASYMPTOTICS | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | Size effects | Entanglement | Quantum phenomena

Journal Article

Nature Communications, ISSN 2041-1723, 12/2018, Volume 9, Issue 1, pp. 27 - 9

The central figure of merit for quantum memories and quantum communication devices is their capacity to store and transmit quantum information. Here, we...

MAX-ENTROPIES | MULTIDISCIPLINARY SCIENCES | Lower bounds | Communication devices | Electronic devices | Superconductivity | Data processing | Repeaters | Qubits (quantum computing) | Quantum theory | Figure of merit | Quantum phenomena | Communication | Physics - Quantum Physics

MAX-ENTROPIES | MULTIDISCIPLINARY SCIENCES | Lower bounds | Communication devices | Electronic devices | Superconductivity | Data processing | Repeaters | Qubits (quantum computing) | Quantum theory | Figure of merit | Quantum phenomena | Communication | Physics - Quantum Physics

Journal Article

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Second-Order Asymptotics for the Classical Capacity of Image-Additive Quantum Channels

Communications in Mathematical Physics, ISSN 0010-3616, 8/2015, Volume 338, Issue 1, pp. 103 - 137

We study non-asymptotic fundamental limits for transmitting classical information over memoryless quantum channels, i.e. we investigate the amount of classical...

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | RELATIVE ENTROPY | CODING THEOREM | STRONG CONVERSE | PHYSICS, MATHEMATICAL | BOUNDS | INFORMATION | Resveratrol

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | RELATIVE ENTROPY | CODING THEOREM | STRONG CONVERSE | PHYSICS, MATHEMATICAL | BOUNDS | INFORMATION | Resveratrol

Journal Article

Physical Review Letters, ISSN 0031-9007, 09/2017, Volume 119, Issue 12, p. 120501

Quantum hypothesis testing is one of the most basic tasks in quantum information theory and has fundamental links with quantum communication and estimation...

CONVERSE | 2ND-ORDER ASYMPTOTICS | PHYSICS, MULTIDISCIPLINARY | CHANNELS | FORMULA | COMMUNICATION | STEINS LEMMA | ENTROPY

CONVERSE | 2ND-ORDER ASYMPTOTICS | PHYSICS, MULTIDISCIPLINARY | CHANNELS | FORMULA | COMMUNICATION | STEINS LEMMA | ENTROPY

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 12/2017, Volume 107, Issue 12, pp. 2239 - 2265

Distance measures between quantum states like the trace distance and the fidelity can naturally be defined by optimizing a classical distance measure over all...

Measured relative entropy | Theoretical, Mathematical and Computational Physics | Complex Systems | Quantum entropy | Physics | Geometry | 81Q99 | Convex optimization | 15A45 | Relative entropy of recovery | 94A17 | Group Theory and Generalizations | Additivity in quantum information theory | Operator Jensen inequality | STATES | ENTANGLEMENT | INEQUALITY | PHYSICS, MATHEMATICAL | PROBABILITY | CONDITIONAL MUTUAL INFORMATION | LIEB | Atoms | Quantum Physics

Measured relative entropy | Theoretical, Mathematical and Computational Physics | Complex Systems | Quantum entropy | Physics | Geometry | 81Q99 | Convex optimization | 15A45 | Relative entropy of recovery | 94A17 | Group Theory and Generalizations | Additivity in quantum information theory | Operator Jensen inequality | STATES | ENTANGLEMENT | INEQUALITY | PHYSICS, MATHEMATICAL | PROBABILITY | CONDITIONAL MUTUAL INFORMATION | LIEB | Atoms | Quantum Physics

Journal Article

IEEE Transactions on Information Theory, ISSN 0018-9448, 04/2016, Volume 62, Issue 4, p. 1758

Fawzi and Renner recently established a lower bound on the conditional quantum mutual information (CQMI) of tripartite quantum states ABC in terms of the...

Correlation analysis | Quantum theory | Information theory

Correlation analysis | Quantum theory | Information theory

Journal Article

Physical Review Letters, ISSN 0031-9007, 03/2011, Volume 106, Issue 11, p. 110506

Uncertainty relations give upper bounds on the accuracy by which the outcomes of two incompatible measurements can be predicted. While established uncertainty...

BELL THEOREM | PHYSICS, MULTIDISCIPLINARY | QUANTUM CRYPTOGRAPHY | SYSTEMS | PRINCIPLE | PRIVACY AMPLIFICATION | KEY

BELL THEOREM | PHYSICS, MULTIDISCIPLINARY | QUANTUM CRYPTOGRAPHY | SYSTEMS | PRINCIPLE | PRIVACY AMPLIFICATION | KEY

Journal Article