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Quantum Information and Computation, ISSN 1533-7146, 05/2006, Volume 6, Issue 3, pp. 277 - 288
Recently, P. Wocjan and M. Horodecki [Open Syst. Inf. Dyn. 12, 331 (2005)] gave a characterization of combinatorially independent permutation separability... 
Permutation criteria | Separability problem | Entanglement theory | separability problem | STATES | BOUND ENTANGLEMENT | permutation criteria | COMPUTER SCIENCE, THEORY & METHODS | PHYSICS, MATHEMATICAL | entanglement theory | PHYSICS, PARTICLES & FIELDS
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 06/2008, Volume 77, Issue 6
Separability problem, to decide whether a given state is entangled or not, is a fundamental problem in quantum information theory. We propose a powerful and... 
PERMUTATION SEPARABILITY CRITERIA | MIXED STATES | QUANTUM STATES | OPTICS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | DENSITY-MATRICES
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 12/2011, Volume 84, Issue 6
We introduce a general framework for detecting genuine multipartite entanglement and non-full-separability in multipartite quantum systems of arbitrary... 
BLOCH REPRESENTATION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | PERMUTATION SEPARABILITY CRITERIA | MIXED STATES | SYSTEMS | QUANTUM ENTANGLEMENT | OPTICS | DENSITY-MATRICES | Physics - Quantum Physics | TENSORS | TWO-BODY PROBLEM | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | CORRELATIONS | DETECTION | QUANTUM STATES | QUANTUM MECHANICS | QUBITS
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 2006, Volume 74, Issue 1
We show that any state that violates the computable cross norm (or realignment) criterion for separability also violates the separability criterion of the... 
PERMUTATION SEPARABILITY CRITERIA | CONTINUOUS-VARIABLE SYSTEMS | QUANTUM STATES | OPTICS | BELL INEQUALITIES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | Physics - Quantum Physics | ATOMIC AND MOLECULAR PHYSICS | QUANTUM ENTANGLEMENT | UNCERTAINTY PRINCIPLE | NONLINEAR PROBLEMS | ENERGY LEVELS | QUANTUM MECHANICS
Journal Article
Quantum Information Processing, ISSN 1570-0755, 4/2017, Volume 16, Issue 4, pp. 1 - 8
By multiple realignments of density matrices, we present a new separability criterion for the multipartite quantum state, which includes the computable... 
Quantum Computing | Quantum Information Technology, Spintronics | Data Structures, Cryptology and Information Theory | Quantum Physics | Mathematical Physics | Physics | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | PERMUTATION SEPARABILITY CRITERIA | Atoms
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 2010, Volume 81, Issue 1
We propose an entanglement criterion based on local uncertainty relations (LURs) in a stronger form than the original LUR criterion introduced by Hofmann and... 
PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | PERMUTATION SEPARABILITY CRITERIA | MIXED STATES | QUANTUM STATES | OPTICS | CONTINUOUS VARIABLE SYSTEMS | DENSITY-MATRICES | Physics - Quantum Physics | MECHANICS | QUANTUM ENTANGLEMENT | QUANTUM MECHANICS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | QUANTUM NUMBERS
Journal Article
Quantum Information Processing, ISSN 1570-0755, 1/2013, Volume 12, Issue 1, pp. 21 - 32
By using the works, Spiridonov (Phys Rev A 52:1909, 1995), and Wang et al. (J Phys A Math Gen 33:7451, 2000), we propose an approach to obtain genuine... 
Quantum Computing | Data Structures, Cryptology and Information Theory | Mathematical Physics | Permutation | Quantum Information Technology, Spintronics | Quantum Physics | Entanglement | Parity | Physics | Entanglement witness | Coherent states | SEPARABILITY CRITERION | FIELDS | PHYSICS, MULTIDISCIPLINARY | QUANTUM | PHYSICS, MATHEMATICAL
Journal Article
Quantum Information Processing, ISSN 1570-0755, 7/2019, Volume 18, Issue 7, pp. 1 - 18
Journal Article
Computational Statistics, ISSN 0943-4062, 2018, Volume 34, Issue 2, pp. 865 - 883
Separability is an attractive feature of covariance matrices or matrix variate data, which can improve and simplify many multivariate procedures. Due to its... 
Non-normal data | Separability | Covariance matrix | Permutation test | Multiple multivariate data | Bonferroni test | STATISTICS & PROBABILITY | SCORE TEST | Permutations | Economic models | Null hypothesis | Hypotheses | Robustness (mathematics) | Covariance | Asymptotic properties | Likelihood ratio | Regression analysis | Normality | Statistical tests
Journal Article
International Journal of Theoretical Physics, ISSN 0020-7748, 11/2019, Volume 58, Issue 11, pp. 3927 - 3944
We demonstrate that a quantum hypergraph state is k-separable if and only if the hypergraph has k-connected components. The permutation symmetric states... 
Hypergraph | Separability | Theoretical, Mathematical and Computational Physics | Quantum hypergraph state | Quantum Physics | Entanglement | Physics, general | Physics | Partial trace | Elementary Particles, Quantum Field Theory
Journal Article
Quantum Information Processing, ISSN 1570-0755, 7/2019, Volume 18, Issue 7, pp. 1 - 46
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 03/2014, Volume 55, Issue 3, p. 32202
We consider the structure of algebra of operators, acting in n-fold tensor product space, which are partially transposed on the last term. Using purely... 
BRAUER ALGEBRAS | REPRESENTATIONS | PHYSICS, MATHEMATICAL | SEPARABILITY | Operators (mathematics) | Permutations | Tensors | Algebra | Representations | Group theory | SPACE | TENSORS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | IRREDUCIBLE REPRESENTATIONS | ALGEBRA
Journal Article
by Li, YX and Li, YA and Chen, Z and Chen, X
ENTROPY, ISSN 1099-4300, 11/2016, Volume 18, Issue 11, pp. 393 - 393
In order to solve the problem of feature extraction of underwater acoustic signals in complex ocean environment, a new method for feature extraction from... 
empirical mode decomposition | PHYSICS, MULTIDISCIPLINARY | feature extraction | EEG | FAULT-DIAGNOSIS | TIME-SERIES | DECOMPOSITION | intrinsic mode function | multi-scale permutation entropy | DEPTH | permutation entropy | Permutations | Parameters | Ships | Noise | Feature extraction | Decomposition | Entropy | Empirical analysis
Journal Article
Mechanical Systems and Signal Processing, ISSN 0888-3270, 01/2019, Volume 114, pp. 658 - 673
To make bearing fault diagnosis more systematic and effective with better operability and real-time capability, this study proposes an approach using... 
Manifold-based dynamic time warping | Permutation entropy | Self-adaptive bearing fault diagnosis | MULTISCALE ENTROPY | EMPIRICAL MODE DECOMPOSITION | LOCAL MEAN DECOMPOSITION | LCD | ENGINEERING, MECHANICAL | Analysis | Algorithms | Green technology
Journal Article
Econometrica, ISSN 0012-9682, 9/1976, Volume 44, Issue 5, pp. 1017 - 1032
Recent papers by Houthakker [3 and 4], Samuelson [8 and 9], Sir John Hicks [2], and others deal with the question of the existence of a nontrivial preference... 
Sufficient conditions | Inverse functions | Price elasticity of demand | Utility functions | Mathematical transformations | Mathematical independent variables | Mathematical functions | Budget constraints | Mathematical permutation | Absolute value
Journal Article
Neurocomputing, ISSN 0925-2312, 2007, Volume 70, Issue 7, pp. 1276 - 1288
Combining the mutual information criterion with a forward feature selection strategy offers a good trade-off between optimality of the selected feature subset... 
Permutation test | Feature selection | Mutual information | NEURAL-NETWORKS | permutation test | INPUT FEATURE-SELECTION | CLASSIFICATION | mutual information | feature selection | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Mathematics | Neural and Evolutionary Computing | Machine Learning | Statistics | Computer Science
Journal Article
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