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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
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 04/2016, Volume 62, Issue 4, pp. 1758 - 1763
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
Journal Article
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
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
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
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 11/2013, Volume 59, Issue 11, pp. 7693 - 7710
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
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 01/2017, Volume 63, Issue 1, pp. 715 - 727
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 05/2016, Volume 62, Issue 5, pp. 2907 - 2913
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
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
Journal Article
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
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
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 12/2017, Volume 107, Issue 12, pp. 2239 - 2265
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
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
Journal Article