Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 05/2015, Volume 471, Issue 2177, p. 20140941

Characterizing genuine multipartite quantum correlations in quantum physical systems has historically been a challenging problem in quantum information theory....

Multipartite quantum correlation | Quantum Markov chains | Conditional quantum mutual information | Conditional entanglement of multipartite information | Multipartite symmetric quantum discord | multipartite quantum correlation | quantum Markov chains | conditional entanglement of multipartite information | conditional quantum mutual information | RELATIVE ENTROPY | CONTINUITY | STATES | MECHANICAL ENTROPY | INFORMATION | MULTIDISCIPLINARY SCIENCES | SQUASHED ENTANGLEMENT | multipartite symmetric quantum discord | 157 | 158 | 159 | 1009

Multipartite quantum correlation | Quantum Markov chains | Conditional quantum mutual information | Conditional entanglement of multipartite information | Multipartite symmetric quantum discord | multipartite quantum correlation | quantum Markov chains | conditional entanglement of multipartite information | conditional quantum mutual information | RELATIVE ENTROPY | CONTINUITY | STATES | MECHANICAL ENTROPY | INFORMATION | MULTIDISCIPLINARY SCIENCES | SQUASHED ENTANGLEMENT | multipartite symmetric quantum discord | 157 | 158 | 159 | 1009

Journal Article

International Journal of Modern Physics B, ISSN 0217-9792, 11/2012, Volume 26, Issue 27n28, pp. 1243008 - 1243013

The monogamy of entanglement is one of the basic quantum mechanical features, which says that when two partners Alice and Bob are more entangled then either of...

Separability | Partial transpose | Conditional entropy | Majorization | Multipartite state | Entanglement | Reduction criterion | separability, partial transpose | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | entanglement | conditional entropy | QUANTUM STATES | STATE ENTANGLEMENT | PHYSICS, MATHEMATICAL | reduction criterion | SEPARABILITY | majorization | DENSITY-MATRICES | Distillation | Operators | Quantum mechanics | Classification | Stochasticity | Density

Separability | Partial transpose | Conditional entropy | Majorization | Multipartite state | Entanglement | Reduction criterion | separability, partial transpose | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | entanglement | conditional entropy | QUANTUM STATES | STATE ENTANGLEMENT | PHYSICS, MATHEMATICAL | reduction criterion | SEPARABILITY | majorization | DENSITY-MATRICES | Distillation | Operators | Quantum mechanics | Classification | Stochasticity | Density

Journal Article

IEEE Transactions on Information Theory, ISSN 0018-9448, 05/2016, Volume 62, Issue 5, pp. 2849 - 2866

The squashed entanglement of a quantum channel is an additive function of quantum channels, which finds application as an upper bound on the rate at which...

Extraterrestrial measurements | Upper bound | Protocols | Quantum entanglement | Receivers | STATES | secret key distillation | MECHANICAL ENTROPY | bosonic channels | entanglement distillation | COMPUTER SCIENCE, INFORMATION SYSTEMS | Squashed entanglement | CONDITIONAL INFORMATION | CRYPTOGRAPHY | ENGINEERING, ELECTRICAL & ELECTRONIC | Broadcasting | Quantum optics | Research | Public key encryption | Information theory

Extraterrestrial measurements | Upper bound | Protocols | Quantum entanglement | Receivers | STATES | secret key distillation | MECHANICAL ENTROPY | bosonic channels | entanglement distillation | COMPUTER SCIENCE, INFORMATION SYSTEMS | Squashed entanglement | CONDITIONAL INFORMATION | CRYPTOGRAPHY | ENGINEERING, ELECTRICAL & ELECTRONIC | Broadcasting | Quantum optics | Research | Public key encryption | Information theory

Journal Article

01/2013, ISBN 981446032X

Book Chapter

Sbornik Mathematics, ISSN 1064-5616, 2016, Volume 207, Issue 5, pp. 93 - 142

Several important measures of correlations of the state of a finite-dimensional composite quantum system are defined as linear combinations of marginal...

Marginal entropy | Quantum mutual information | Von neumann entropy | Entanglement-assisted capacity | Quantum channel | CAPACITY | STATES | entanglement-assisted capacity | quantum channel | STRONG SUBADDITIVITY | MATHEMATICS | von Neumann entropy | CONTINUITY | SQUASHED ENTANGLEMENT | CONDITIONAL MUTUAL INFORMATION | marginal entropy | quantum mutual information | ENTROPY | Functions (mathematics) | Concretes | Reproduction | Correlation analysis | Mathematical analysis | Entropy | Channels | Quantum theory

Marginal entropy | Quantum mutual information | Von neumann entropy | Entanglement-assisted capacity | Quantum channel | CAPACITY | STATES | entanglement-assisted capacity | quantum channel | STRONG SUBADDITIVITY | MATHEMATICS | von Neumann entropy | CONTINUITY | SQUASHED ENTANGLEMENT | CONDITIONAL MUTUAL INFORMATION | marginal entropy | quantum mutual information | ENTROPY | Functions (mathematics) | Concretes | Reproduction | Correlation analysis | Mathematical analysis | Entropy | Channels | Quantum theory

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 9/2011, Volume 306, Issue 3, pp. 805 - 830

Squashed entanglement is a measure for the entanglement of bipartite quantum states. In this paper we present a lower bound for squashed entanglement in terms...

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | RELATIVE ENTROPY | STRONG CONVERSE | THEOREM | DISTILLATION | COMPLEXITY | SYSTEMS | STRONG SUBADDITIVITY | CONDITIONAL INFORMATION | PHYSICS, MATHEMATICAL | QUANTUM SEPARABILITY PROBLEM | MIXED-STATE ENTANGLEMENT | Atoms | Algorithms | Physics - Quantum Physics

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | RELATIVE ENTROPY | STRONG CONVERSE | THEOREM | DISTILLATION | COMPLEXITY | SYSTEMS | STRONG SUBADDITIVITY | CONDITIONAL INFORMATION | PHYSICS, MATHEMATICAL | QUANTUM SEPARABILITY PROBLEM | MIXED-STATE ENTANGLEMENT | Atoms | Algorithms | Physics - Quantum Physics

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 2/2014, Volume 326, Issue 1, pp. 63 - 80

We are interested in the properties and relations of entanglement measures. Especially, we focus on the squashed entanglement and relative entropy of...

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | CONTINUITY | STATES | STRONG CONVERSE | QUANTUM | DISTILLATION | CONDITIONAL INFORMATION | PHYSICS, MATHEMATICAL

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | CONTINUITY | STATES | STRONG CONVERSE | QUANTUM | DISTILLATION | CONDITIONAL INFORMATION | PHYSICS, MATHEMATICAL

Journal Article

The European Physical Journal D, ISSN 1434-6060, 1/2012, Volume 66, Issue 1, pp. 1 - 13

Entanglement criteria for general (pure or mixed) states of systems consisting of two identical fermions are introduced. These criteria are based on...

Spectroscopy/Spectrometry | Quantum Information | Physical Chemistry | Quantum Information Technology, Spintronics | Atomic, Molecular, Optical and Plasma Physics | Quantum Physics | Nonlinear Dynamics | Physics | IDENTICAL PARTICLES | STATES | CONDITIONAL Q-ENTROPIES | SEPARABILITY | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | OPTICS | COMPOSITE QUANTUM-SYSTEMS | Physics - Quantum Physics

Spectroscopy/Spectrometry | Quantum Information | Physical Chemistry | Quantum Information Technology, Spintronics | Atomic, Molecular, Optical and Plasma Physics | Quantum Physics | Nonlinear Dynamics | Physics | IDENTICAL PARTICLES | STATES | CONDITIONAL Q-ENTROPIES | SEPARABILITY | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | OPTICS | COMPOSITE QUANTUM-SYSTEMS | Physics - Quantum Physics

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

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 02/2017, Volume 50, Issue 12, p. 125301

We review the geometric features of negative conditional entropy and the properties of the conditional amplitude operator proposed by Cerf and Adami for two...

negative conditional entropy | entanglement detection | geometry of entanglement | Weyl states | SEPARABILITY CRITERION | PHYSICS, MULTIDISCIPLINARY | MIXED STATES | QUANTUM ENTANGLEMENT | BELL INEQUALITIES | PHYSICS, MATHEMATICAL | NONLOCALITY | INFORMATION-THEORY | DENSITY-MATRICES | Physics - Quantum Physics

negative conditional entropy | entanglement detection | geometry of entanglement | Weyl states | SEPARABILITY CRITERION | PHYSICS, MULTIDISCIPLINARY | MIXED STATES | QUANTUM ENTANGLEMENT | BELL INEQUALITIES | PHYSICS, MATHEMATICAL | NONLOCALITY | INFORMATION-THEORY | DENSITY-MATRICES | Physics - Quantum Physics

Journal Article

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 10/2015, Volume 471, Issue 2182, p. 20150338

The fact that the quantum relative entropy is non-increasing with respect to quantum physical evolutions lies at the core of many optimality theorems in...

Strong subadditivity | Conditional mutual information | Quantum relative entropy | conditional mutual information | RELATIVE ENTROPY | STATES | quantum relative entropy | MECHANICAL ENTROPY | ENTANGLEMENT | MULTIDISCIPLINARY SCIENCES | CHANNELS | strong subadditivity

Strong subadditivity | Conditional mutual information | Quantum relative entropy | conditional mutual information | RELATIVE ENTROPY | STATES | quantum relative entropy | MECHANICAL ENTROPY | ENTANGLEMENT | MULTIDISCIPLINARY SCIENCES | CHANNELS | strong subadditivity

Journal Article

Physical Review Letters, ISSN 0031-9007, 04/2015, Volume 114, Issue 13, p. 130401

We provide an interpretation of entanglement based on classical correlations between measurement outcomes of complementary properties: States that have...

BASES | ENTROPIC UNCERTAINTY RELATIONS | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | MATRICES | SEPARABLE STATES | QUANTUM STATES | CRITERION | OPERATORS | Correlation | Entanglement | Conditional probability | Thresholds | Correlation analysis | Correlation coefficients | Physics - Quantum Physics

BASES | ENTROPIC UNCERTAINTY RELATIONS | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | MATRICES | SEPARABLE STATES | QUANTUM STATES | CRITERION | OPERATORS | Correlation | Entanglement | Conditional probability | Thresholds | Correlation analysis | Correlation coefficients | Physics - Quantum Physics

Journal Article

Quantum Information Processing, ISSN 1570-0755, 1/2019, Volume 18, Issue 1, pp. 1 - 23

We investigate the continuous-variable entanglement swapping protocol in a non-Gaussian setting, with non-Gaussian states employed either as entangled inputs...

Quantum Computing | Mathematical Physics | Quantum Information Technology, Spintronics | Quantum Physics | Entanglement | Non-Gaussianity | Physics | Swapping | Data Structures and Information Theory | CONDITIONAL MEASUREMENTS | DECOHERENCE | STATES | EXCITATIONS | PHYSICS, MULTIDISCIPLINARY | OPERATIONS | INFORMATION | LIGHT | PHYSICS, MATHEMATICAL | QUANTUM TELEPORTATION | GENERATION

Quantum Computing | Mathematical Physics | Quantum Information Technology, Spintronics | Quantum Physics | Entanglement | Non-Gaussianity | Physics | Swapping | Data Structures and Information Theory | CONDITIONAL MEASUREMENTS | DECOHERENCE | STATES | EXCITATIONS | PHYSICS, MULTIDISCIPLINARY | OPERATIONS | INFORMATION | LIGHT | PHYSICS, MATHEMATICAL | QUANTUM TELEPORTATION | GENERATION

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

Quantum Information Processing, ISSN 1570-0755, 3/2016, Volume 15, Issue 3, pp. 1309 - 1345

This paper introduces “swiveled Rényi entropies” as an alternative to the Rényi entropic quantities put forward in Berta et al. (Phys Rev A 91(2):022333,...

Quantum Computing | Data Structures, Cryptology and Information Theory | Mathematical Physics | Rényi entropies | Quantum Information Technology, Spintronics | Monotonicity of quantum relative entropy | Quantum Physics | Strong subadditivity | Physics | Conditional mutual information | RELATIVE ENTROPY | QUANTUM-MECHANICAL ENTROPY | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | INFORMATION | CHANNELS | PHYSICS, MATHEMATICAL | Renyi entropies

Quantum Computing | Data Structures, Cryptology and Information Theory | Mathematical Physics | Rényi entropies | Quantum Information Technology, Spintronics | Monotonicity of quantum relative entropy | Quantum Physics | Strong subadditivity | Physics | Conditional mutual information | RELATIVE ENTROPY | QUANTUM-MECHANICAL ENTROPY | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | INFORMATION | CHANNELS | PHYSICS, MATHEMATICAL | Renyi entropies

Journal Article

Quantum Information Processing, ISSN 1570-0755, 8/2015, Volume 14, Issue 8, pp. 2929 - 2943

We study quantum correlations in a bipartite heteronuclear $$(N-1)\times 1$$ ( N - 1 ) × 1 system in an external magnetic field. The system consists of a spin...

Quantum Computing | Spin ring | Mathematical Physics | Conditional entropy | Classical correlations | Quantum Information Technology, Spintronics | Quantum Physics | Longitudinal spin interactions | Physics | Transverse spin interactions | Data Structures, Cryptology and Information Theory | Quantum correlations | Quantum discord | Quantum information | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | DISCORD | PHYSICS, MATHEMATICAL | NMR | DYNAMICS | Atoms | Magnetic fields | Analysis

Quantum Computing | Spin ring | Mathematical Physics | Conditional entropy | Classical correlations | Quantum Information Technology, Spintronics | Quantum Physics | Longitudinal spin interactions | Physics | Transverse spin interactions | Data Structures, Cryptology and Information Theory | Quantum correlations | Quantum discord | Quantum information | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | DISCORD | PHYSICS, MATHEMATICAL | NMR | DYNAMICS | Atoms | Magnetic fields | Analysis

Journal Article

Proceedings of the forty-third annual ACM symposium on theory of computing, ISSN 0737-8017, 06/2011, pp. 343 - 352

We present a quasipolynomial-time algorithm for solving the weak membership problem for the convex set of separable, i.e. non-entangled, bipartite density...

conditional mutual information | separability problem | squashed entanglement | interactive proofs | quantum computation

conditional mutual information | separability problem | squashed entanglement | interactive proofs | quantum computation

Conference Proceeding

Journal of Optics B: Quantum and Semiclassical Optics, ISSN 1464-4266, 04/2005, Volume 7, Issue 4, pp. R19 - R36

We present a detailed report on the decoherence of quantum states of continuous variable systems under the action of a quantum optical master equation...

Nonclassical states | Decoherence | Entanglement | Continuous variable systems | CONDITIONAL MEASUREMENTS | PHYSICS, APPLIED | nonclassical states | SCHRODINGER-CAT STATE | entanglement | GAUSSIAN NOISY CHANNELS | PHOTON NUMBER STATES | KEY DISTRIBUTION | QUANTUM-NONDEMOLITION MEASUREMENTS | RADIATION-FIELD | continuous variable systems | RIGGED-RESERVOIR RESPONSE | decoherence | FOCK-STATES | SQUEEZED VACUUM | Physics - Quantum Physics

Nonclassical states | Decoherence | Entanglement | Continuous variable systems | CONDITIONAL MEASUREMENTS | PHYSICS, APPLIED | nonclassical states | SCHRODINGER-CAT STATE | entanglement | GAUSSIAN NOISY CHANNELS | PHOTON NUMBER STATES | KEY DISTRIBUTION | QUANTUM-NONDEMOLITION MEASUREMENTS | RADIATION-FIELD | continuous variable systems | RIGGED-RESERVOIR RESPONSE | decoherence | FOCK-STATES | SQUEEZED VACUUM | Physics - Quantum Physics

Journal Article

IEEE Transactions on Information Theory, ISSN 0018-9448, 08/2017, Volume 63, Issue 8, pp. 5360 - 5371

We introduce and analyze a task in which a tripartite quantum state is transformed to an approximately recoverable state by a randomizing operation on one of...

conditional quantum mutual information | Quantum computing | Tensile stress | quantum Markov chain | Quantum mechanics | Focusing | Markov processes | Informatics | Approximate recoverability | CONTINUITY | MARKOV-CHAINS | INFORMATION | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENTROPY | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Energy levels (Quantum mechanics) | Stochastic processes | Research | Quantum theory | Strength of materials | Tensors | Randomness | Minimum cost | Cost analysis | Recovery | Cost engineering | Subsystems | Physics - Quantum Physics

conditional quantum mutual information | Quantum computing | Tensile stress | quantum Markov chain | Quantum mechanics | Focusing | Markov processes | Informatics | Approximate recoverability | CONTINUITY | MARKOV-CHAINS | INFORMATION | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENTROPY | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Energy levels (Quantum mechanics) | Stochastic processes | Research | Quantum theory | Strength of materials | Tensors | Randomness | Minimum cost | Cost analysis | Recovery | Cost engineering | Subsystems | Physics - Quantum Physics

Journal Article

Annales Henri Poincaré, ISSN 1424-0637, 10/2018, Volume 19, Issue 10, pp. 2955 - 2978

The data processing inequality states that the quantum relative entropy between two states $$\rho $$ ρ and $$\sigma $$ σ can never increase by applying the...

Mathematical Methods in Physics | Theoretical, Mathematical and Computational Physics | Quantum Physics | Dynamical Systems and Ergodic Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | STATES | INEQUALITIES | PHYSICS, MULTIDISCIPLINARY |

Mathematical Methods in Physics | Theoretical, Mathematical and Computational Physics | Quantum Physics | Dynamical Systems and Ergodic Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | STATES | INEQUALITIES | PHYSICS, MULTIDISCIPLINARY |