Quantum Information Processing, ISSN 1570-0755, 6/2016, Volume 15, Issue 6, pp. 2639 - 2648

.... Some uncertainty inequalities are presented by using skew information introduced by Wigner and Yanase...

Quantum Computing | Data Structures, Cryptology and Information Theory | Mathematical Physics | Quantum Information Technology, Spintronics | Noncommuting observables | Uncertainty relation | Wigner–Yanase skew information | Quantum Physics | Physics | PRINCIPLE | Wigner-Yanase skew information | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Information science | Quantum theory | Resveratrol | Physics - Quantum Physics

Quantum Computing | Data Structures, Cryptology and Information Theory | Mathematical Physics | Quantum Information Technology, Spintronics | Noncommuting observables | Uncertainty relation | Wigner–Yanase skew information | Quantum Physics | Physics | PRINCIPLE | Wigner-Yanase skew information | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Information science | Quantum theory | Resveratrol | Physics - Quantum Physics

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2010, Volume 365, Issue 1, pp. 12 - 18

We give a trace inequality related to the uncertainty relation of Wigner–Yanase–Dyson skew information...

Wigner–Yanase–Dyson skew information | Uncertainty relation | Wigner-Yanase-Dyson skew information | MATHEMATICS | MATHEMATICS, APPLIED | TRACE INEQUALITIES

Wigner–Yanase–Dyson skew information | Uncertainty relation | Wigner-Yanase-Dyson skew information | MATHEMATICS | MATHEMATICS, APPLIED | TRACE INEQUALITIES

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2012, Volume 388, Issue 2, pp. 1147 - 1156

In this paper, we give Schrödinger-type uncertainty relation using the Wigner–Yanase–Dyson skew information...

Wigner–Yanase–Dyson skew information | Schrödinger uncertainty relation and metric adjusted correlation measure | Trace inequality | Wigner-Yanase-Dyson skew information | QUANTUM FISHER INFORMATION | MATHEMATICS | MATHEMATICS, APPLIED | Schrodinger uncertainty relation and metric adjusted correlation measure | PRINCIPLE | TRACE INEQUALITIES | OPERATORS | Computer science | Universities and colleges

Wigner–Yanase–Dyson skew information | Schrödinger uncertainty relation and metric adjusted correlation measure | Trace inequality | Wigner-Yanase-Dyson skew information | QUANTUM FISHER INFORMATION | MATHEMATICS | MATHEMATICS, APPLIED | Schrodinger uncertainty relation and metric adjusted correlation measure | PRINCIPLE | TRACE INEQUALITIES | OPERATORS | Computer science | Universities and colleges

Journal Article

Entropy, ISSN 1099-4300, 02/2018, Volume 20, Issue 2, p. 132

We present uncertainty relations based on Wigner-Yanase-Dyson skew information with quantum memory...

Uncertainty relation | Quantum memory | Wigner-Yanase-Dyson skew information | quantum memory | PRINCIPLE | PHYSICS, MULTIDISCIPLINARY | uncertainty relation | Computer memory | Lower bounds | Uncertainty | Entangled states | Correlation analysis | Quantum phenomena | Physics - Quantum Physics | Wigner–Yanase–Dyson skew information

Uncertainty relation | Quantum memory | Wigner-Yanase-Dyson skew information | quantum memory | PRINCIPLE | PHYSICS, MULTIDISCIPLINARY | uncertainty relation | Computer memory | Lower bounds | Uncertainty | Entangled states | Correlation analysis | Quantum phenomena | Physics - Quantum Physics | Wigner–Yanase–Dyson skew information

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2011, Volume 380, Issue 2, pp. 888 - 892

We show that an uncertainty relation for Wigner–Yanase–Dyson skew information proved by Yanagi (2010) [10...

Wigner–Yanase–Dyson skew information | Operator monotone function | Heisenberg uncertainty relation | Quantum Fisher information | Wigner-Yanase-Dyson skew information | MATHEMATICS | MATHEMATICS, APPLIED

Wigner–Yanase–Dyson skew information | Operator monotone function | Heisenberg uncertainty relation | Quantum Fisher information | Wigner-Yanase-Dyson skew information | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2009, Volume 356, Issue 1, pp. 179 - 185

We introduce a generalized Wigner–Yanase skew information and then derive the trace inequality related to the uncertainty relation...

Wigner–Yanase–Dyson skew information and uncertainty relation | Trace inequality | Wigner–Yanase skew information | Wigner-Yanase skew information | Wigner-Yanase-Dyson skew information and uncertainty relation | MATHEMATICS | MATHEMATICS, APPLIED | Computer science | Universities and colleges

Wigner–Yanase–Dyson skew information and uncertainty relation | Trace inequality | Wigner–Yanase skew information | Wigner-Yanase skew information | Wigner-Yanase-Dyson skew information and uncertainty relation | MATHEMATICS | MATHEMATICS, APPLIED | Computer science | Universities and colleges

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2011, Volume 383, Issue 1, pp. 208 - 214

We derive a trace inequality leading to an uncertainty relation based on the monotone pair skew information introduced by Furuichi...

Wigner–Yanase–Dyson skew information | Wigner–Yanase skew information | Uncertainty relation | Monotone pair skew information | Wigner-Yanase skew information | Wigner-Yanase-Dyson skew information | MATHEMATICS | MATHEMATICS, APPLIED | TRACE INEQUALITIES

Wigner–Yanase–Dyson skew information | Wigner–Yanase skew information | Uncertainty relation | Monotone pair skew information | Wigner-Yanase skew information | Wigner-Yanase-Dyson skew information | MATHEMATICS | MATHEMATICS, APPLIED | TRACE INEQUALITIES

Journal Article

Bulletin of the Korean Mathematical Society, ISSN 1015-8634, 2017, Volume 54, Issue 1, pp. 243 - 251

We get a Schrodinger uncertainty relation for the monotone triple skew information which was introduced by Yanagi and Kajihara...

Schrödinger uncertainty relation | Monotone triple skew information | Wigner-yanase-dyson skew information | MATHEMATICS | Schrodinger uncertainty relation | Wigner-Yanase-Dyson skew information | CONVEXITY | monotone triple skew information

Schrödinger uncertainty relation | Monotone triple skew information | Wigner-yanase-dyson skew information | MATHEMATICS | Schrodinger uncertainty relation | Wigner-Yanase-Dyson skew information | CONVEXITY | monotone triple skew information

Journal Article

International Journal of Theoretical Physics, ISSN 0020-7748, 3/2014, Volume 53, Issue 3, pp. 952 - 958

In this note, releasing the restriction on operators which are observables (self-adjoint), a generalization of the Wigner-Yanase-Dyson skew information is given...

Commutator | Theoretical, Mathematical and Computational Physics | Density operator | Quantum Physics | Physics, general | Wigner-Yanase-Dyson skew information | Convexity | Physics | Elementary Particles, Quantum Field Theory | UNCERTAINTY RELATION | PHYSICS, MULTIDISCIPLINARY | PRINCIPLE | DUALITY COMPUTER | MATHEMATICAL-THEORY

Commutator | Theoretical, Mathematical and Computational Physics | Density operator | Quantum Physics | Physics, general | Wigner-Yanase-Dyson skew information | Convexity | Physics | Elementary Particles, Quantum Field Theory | UNCERTAINTY RELATION | PHYSICS, MULTIDISCIPLINARY | PRINCIPLE | DUALITY COMPUTER | MATHEMATICAL-THEORY

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2010, Volume 369, Issue 1, pp. 164 - 167

...–Yanase–Dyson skew information and a generalized Wigner–Yanase skew information (Furuichi et al. (2009) [1]) and Yanagi found a counterexample showing that two of the three conjectures don't hold...

Wigner–Yanase–Dyson skew information | Trace inequality | Wigner–Yanase skew information | Uncertainty relation | Wigner-Yanase skew information | Wigner-Yanase-Dyson skew information | MATHEMATICS | MATHEMATICS, APPLIED

Wigner–Yanase–Dyson skew information | Trace inequality | Wigner–Yanase skew information | Uncertainty relation | Wigner-Yanase skew information | Wigner-Yanase-Dyson skew information | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 2010, Volume 433, Issue 8, pp. 1524 - 1532

...–Yanase–Dyson skew information which is two parameter’s extension of our result in [12].

Wigner–Yanase–Dyson skew information | Uncertainty relation | Wigner-Yanase-Dyson skew information | MATHEMATICS, APPLIED | TRACE INEQUALITIES

Wigner–Yanase–Dyson skew information | Uncertainty relation | Wigner-Yanase-Dyson skew information | MATHEMATICS, APPLIED | TRACE INEQUALITIES

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 9/2008, Volume 85, Issue 2, pp. 135 - 146

We study quantum information inequalities and show that the basic inequality between the quantum variance and the metric adjusted skew information generates all the multi-operator matrix inequalities...

quantum covariance | Mathematical and Computational Physics | metric adjusted skew information | Physics | Geometry | Robertson-type uncertainty principle | Wigner–Yanase–Dyson skew information | 94A17 | 81P15 | Group Theory and Generalizations | Statistical Physics | operator monotone function | 15A90 | Metric adjusted skew information | Quantum covariance | Operator monotone function | Wigner-Yanase-Dyson skew information | UNCERTAINTY PRINCIPLE | MONOTONE METRICS | PHYSICS, MATHEMATICAL

quantum covariance | Mathematical and Computational Physics | metric adjusted skew information | Physics | Geometry | Robertson-type uncertainty principle | Wigner–Yanase–Dyson skew information | 94A17 | 81P15 | Group Theory and Generalizations | Statistical Physics | operator monotone function | 15A90 | Metric adjusted skew information | Quantum covariance | Operator monotone function | Wigner-Yanase-Dyson skew information | UNCERTAINTY PRINCIPLE | MONOTONE METRICS | PHYSICS, MATHEMATICAL

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 7/2010, Volume 93, Issue 1, pp. 1 - 13

We give a truly elementary proof of the convexity of metric-adjusted skew information following an idea of Effros...

Geometry | Wigner–Yanase–Dyson skew information | metric-adjusted skew information | superadditivity | 15A45 | monotone metric | Theoretical, Mathematical and Computational Physics | 94A17 | 81P15 | Group Theory and Generalizations | Statistical Physics, Dynamical Systems and Complexity | Physics | Metric-adjusted skew information | Monotone metric | Wigner-Yanase-Dyson skew information | Superadditivity | PHYSICS, MATHEMATICAL | ENTROPY

Geometry | Wigner–Yanase–Dyson skew information | metric-adjusted skew information | superadditivity | 15A45 | monotone metric | Theoretical, Mathematical and Computational Physics | 94A17 | 81P15 | Group Theory and Generalizations | Statistical Physics, Dynamical Systems and Complexity | Physics | Metric-adjusted skew information | Monotone metric | Wigner-Yanase-Dyson skew information | Superadditivity | PHYSICS, MATHEMATICAL | ENTROPY

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2017, Volume 447, Issue 1, pp. 666 - 680

We present some generalizations of quantum information inequalities involving tracial positive linear maps between C⁎-algebras...

[formula omitted]-algebra | Generalized Wigner–Yanase skew information | Generalized covariance | Generalized correlation | Heisenberg uncertainty relation | Tracial positive linear map | algebra | MATHEMATICS | MATHEMATICS, APPLIED | Generalized Wigner-Yanase skew information | UNCERTAINTY RELATION | SKEW INFORMATION | C-algebra | Atoms | Analysis | Algebra

[formula omitted]-algebra | Generalized Wigner–Yanase skew information | Generalized covariance | Generalized correlation | Heisenberg uncertainty relation | Tracial positive linear map | algebra | MATHEMATICS | MATHEMATICS, APPLIED | Generalized Wigner-Yanase skew information | UNCERTAINTY RELATION | SKEW INFORMATION | C-algebra | Atoms | Analysis | Algebra

Journal Article

15.
Full Text
The Wigner–Yanase information can increase under phase sensitive incoherent operations

Annals of Physics, ISSN 0003-4916, 08/2015, Volume 359, pp. 136 - 140

We found that the Wigner-Yanase skew information, which has been recently proposed as a measure of coherence in Girolami (2014...

Wigner–Yanase skew information | Coherence measure | Wigner-Yanase skew information | PHYSICS, MULTIDISCIPLINARY | Phase transitions | Physics | Physics - Quantum Physics | QUANTUM STATES | QUANTUM SYSTEMS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ANNIHILATION OPERATORS | EIGENSTATES | INFORMATION

Wigner–Yanase skew information | Coherence measure | Wigner-Yanase skew information | PHYSICS, MULTIDISCIPLINARY | Phase transitions | Physics | Physics - Quantum Physics | QUANTUM STATES | QUANTUM SYSTEMS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ANNIHILATION OPERATORS | EIGENSTATES | INFORMATION

Journal Article

International Journal of Theoretical Physics, ISSN 0020-7748, 11/2011, Volume 50, Issue 11, pp. 3375 - 3384

.... Exact expression of the final states of two-qubit are given for different model. We find that the maximal Wigner-Yanase skew information can be modulated and stored via using decay mechanism and nonlinear interaction...

Nonlinear interaction | Storage | Theoretical, Mathematical and Computational Physics | Quantum Physics | Physics, general | Maximal Wigner-Yanase skew information | Physics | Elementary Particles, Quantum Field Theory | Two-qubit system | SPIN | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | STATE

Nonlinear interaction | Storage | Theoretical, Mathematical and Computational Physics | Quantum Physics | Physics, general | Maximal Wigner-Yanase skew information | Physics | Elementary Particles, Quantum Field Theory | Two-qubit system | SPIN | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | STATE

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2010, Volume 372, Issue 1, pp. 237 - 243

We give the trace inequalities as a generalization of the uncertainty relation improved by S. Luo. These inequalities are refinements of the trace inequality...

Wigner–Yanase–Dyson skew information | Trace inequality | Wigner–Yanase skew information | Uncertainty relation | Wigner-Yanase skew information | Wigner-Yanase-Dyson skew information | MATHEMATICS | MATHEMATICS, APPLIED | SKEW INFORMATION

Wigner–Yanase–Dyson skew information | Trace inequality | Wigner–Yanase skew information | Uncertainty relation | Wigner-Yanase skew information | Wigner-Yanase-Dyson skew information | MATHEMATICS | MATHEMATICS, APPLIED | SKEW INFORMATION

Journal Article

Quantum Information Processing, ISSN 1570-0755, 7/2018, Volume 17, Issue 7, pp. 1 - 21

...–Dyson skew information.

Quantum Computing | Data Structures, Cryptology and Information Theory | Generalized Wigner–Yanase–Dyson skew information | Mathematical Physics | Quantum Information Technology, Spintronics | Uncertainty relation | Quantum Physics | Generalized Wigner–Yanase–Dyson correlation | Physics | QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Generalized Wigner-Yanase-Dyson correlation | Generalized Wigner-Yanase-Dyson skew information | Information science | Quantum theory

Quantum Computing | Data Structures, Cryptology and Information Theory | Generalized Wigner–Yanase–Dyson skew information | Mathematical Physics | Quantum Information Technology, Spintronics | Uncertainty relation | Quantum Physics | Generalized Wigner–Yanase–Dyson correlation | Physics | QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Generalized Wigner-Yanase-Dyson correlation | Generalized Wigner-Yanase-Dyson skew information | Information science | Quantum theory

Journal Article

中国物理：英文版, ISSN 1674-1056, 2011, Volume 20, Issue 9, pp. 37 - 43

Maximal and total skew information is studied. For symmetric pure states of two-qubit, they are closely related to the linear entropy, the concurrence, and the spin squeezing parameter...

非线性 | 信息 | 相互作用模型 | 外部磁场 | 量子比特 | 系统 | 压缩参数 | 歪斜 | maximal and total Wigner Yanase skew information | nonlinear interaction models | twoqubit system | QUANTUM FISHER INFORMATION | two-qubit system | STATISTICAL DISTANCE | maximal and total Wigner-Yanase skew information | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | State vectors | Nonlinearity | Entropy | Mathematical models | Compressing

非线性 | 信息 | 相互作用模型 | 外部磁场 | 量子比特 | 系统 | 压缩参数 | 歪斜 | maximal and total Wigner Yanase skew information | nonlinear interaction models | twoqubit system | QUANTUM FISHER INFORMATION | two-qubit system | STATISTICAL DISTANCE | maximal and total Wigner-Yanase skew information | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | State vectors | Nonlinearity | Entropy | Mathematical models | Compressing

Journal Article

中国物理：英文版, ISSN 1674-1056, 2012, Volume 21, Issue 1, pp. 52 - 61

Both the maximal and the total skew information have been studied. For a three-qubit system implemented in three nonlinear interaction models, we give the exact state vector at any time...

非线性 | 状态向量 | 量子位 | 相互作用模型 | 信息利用 | 系统 | 突然死亡 | 歪斜 | three-qubit system | maximal and total Wigner-Yanase skew information | nonlinear interaction models | three decoherence channels | QUANTUM FISHER INFORMATION | STATES | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | State vectors | Planes | Nonlinearity | Ground state | Evolution | Mathematical models | Excitation | Channels | Extreme values

非线性 | 状态向量 | 量子位 | 相互作用模型 | 信息利用 | 系统 | 突然死亡 | 歪斜 | three-qubit system | maximal and total Wigner-Yanase skew information | nonlinear interaction models | three decoherence channels | QUANTUM FISHER INFORMATION | STATES | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | State vectors | Planes | Nonlinearity | Ground state | Evolution | Mathematical models | Excitation | Channels | Extreme values

Journal Article

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