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

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

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

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

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

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

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

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

In [Science 340:1205, (2013)], via polytopes Michael Walter et al. proposed a sufficient condition detecting the genuinely entangled pure states. In this...

Quantum Computing | Genuine entanglement | Tensor decomposition (Kronecker tensor factorization) | The full decomposition theorem | Detection of genuine entanglement | Mathematical Physics | Quantum Information Technology, Spintronics | Quantum Physics | Permutations of qubits | Physics | Data Structures and Information Theory | Complexity | QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | SEPARABILITY | CRITERION | PHYSICS, MATHEMATICAL

Quantum Computing | Genuine entanglement | Tensor decomposition (Kronecker tensor factorization) | The full decomposition theorem | Detection of genuine entanglement | Mathematical Physics | Quantum Information Technology, Spintronics | Quantum Physics | Permutations of qubits | Physics | Data Structures and Information Theory | Complexity | QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | SEPARABILITY | CRITERION | PHYSICS, MATHEMATICAL

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

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

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

Symmetry is a fundamental milestone of quantum physics, and the relation between entanglement is one of the central mysteries of quantum mechanics. In this...

Quantum Computing | Completely symmetric states | Symmetrically separable | Quantum entanglement | Mathematical Physics | Best separable approximation | Quantum Information Technology, Spintronics | Quantum Physics | Physics | Data Structures and Information Theory | QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | SEPARABILITY | PHYSICS, MATHEMATICAL

Quantum Computing | Completely symmetric states | Symmetrically separable | Quantum entanglement | Mathematical Physics | Best separable approximation | Quantum Information Technology, Spintronics | Quantum Physics | Physics | Data Structures and Information Theory | QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | SEPARABILITY | PHYSICS, MATHEMATICAL

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

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

13.
Full Text
Bounded Component Analysis of Linear Mixtures: A Criterion of Minimum Convex Perimeter

IEEE Transactions on Signal Processing, ISSN 1053-587X, 04/2010, Volume 58, Issue 4, pp. 2141 - 2154

This study presents a blind and geometric technique which pursues the linear decomposition of the observations in bounded component signals. The bounded...

Phase noise | Minimization methods | bounded component analysis | Independent component analysis | Entropy | Vectors | Blind signal extraction (BSE) | minimum entropy criterion | contrast functions | Minkowski sum | Signal processing algorithms | Signal processing | Signal analysis | Biomedical engineering | Bounded component analysis | Minimum entropy criterion | Contrast functions | SIGNAL SEPARATION | independent component analysis | CONSTANT MODULUS | BLIND DECONVOLUTION | SYSTEMS | ALGORITHMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Linear systems | Analysis | Methods | Studies | Permutations | Mathematical analysis | Decomposition | Extraction | Criteria | Vectors (mathematics) | Blinds | Optimization

Phase noise | Minimization methods | bounded component analysis | Independent component analysis | Entropy | Vectors | Blind signal extraction (BSE) | minimum entropy criterion | contrast functions | Minkowski sum | Signal processing algorithms | Signal processing | Signal analysis | Biomedical engineering | Bounded component analysis | Minimum entropy criterion | Contrast functions | SIGNAL SEPARATION | independent component analysis | CONSTANT MODULUS | BLIND DECONVOLUTION | SYSTEMS | ALGORITHMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Linear systems | Analysis | Methods | Studies | Permutations | Mathematical analysis | Decomposition | Extraction | Criteria | Vectors (mathematics) | Blinds | Optimization

Journal Article

Neurological Sciences, ISSN 1590-1874, 2/2008, Volume 29, Issue 1, pp. 3 - 9

Permutation entropy (PE) was recently introduced as a very fast and robust algorithm to detect dynamic complexity changes in time series. It was also suggested...

Preictal phase | Neurology | Medicine & Public Health | Drug-resistant focal epilepsy | Seizure prediction | Permutation entropy | Neurosurgery | Scalp-electroencephalogram | State of vigilance | Psychiatry | Neuroradiology | seizure prediction | RECORDINGS | SERIES | preictal phase | NEUROSCIENCES | permutation entropy | CLINICAL NEUROLOGY | PREDICTION | drug-resistant focal epilepsy | state of vigilance | PREDICTABILITY | EPILEPSIES | SEIZURE ANTICIPATION | scalp-electroencephalogram | LONG | Seizures - classification | Brain - physiopathology | Humans | Middle Aged | Male | Electroencephalography | Entropy | Epilepsy - physiopathology | Epilepsy - diagnosis | Algorithms | Adolescent | Adult | Female | ROC Curve | Medicine, Experimental | Medical research | Analysis

Preictal phase | Neurology | Medicine & Public Health | Drug-resistant focal epilepsy | Seizure prediction | Permutation entropy | Neurosurgery | Scalp-electroencephalogram | State of vigilance | Psychiatry | Neuroradiology | seizure prediction | RECORDINGS | SERIES | preictal phase | NEUROSCIENCES | permutation entropy | CLINICAL NEUROLOGY | PREDICTION | drug-resistant focal epilepsy | state of vigilance | PREDICTABILITY | EPILEPSIES | SEIZURE ANTICIPATION | scalp-electroencephalogram | LONG | Seizures - classification | Brain - physiopathology | Humans | Middle Aged | Male | Electroencephalography | Entropy | Epilepsy - physiopathology | Epilepsy - diagnosis | Algorithms | Adolescent | Adult | Female | ROC Curve | Medicine, Experimental | Medical research | Analysis

Journal Article

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

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

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

Medical Image Analysis, ISSN 1361-8415, 08/2015, Volume 24, Issue 1, pp. 190 - 204

Machine learning based classification algorithms like support vector machines (SVMs) have shown great promise for turning a high dimensional neuroimaging data...

Analytic approximation | Permutation tests | SVM | ENGINEERING, BIOMEDICAL | FMRI DATA | CLASSIFICATION | PATTERNS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | INDEPENDENT COMPONENT ANALYSIS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MORPHOMETRY | SEGMENTATION | SELECTION | REGULARIZATION | SQUARES | RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING | Neuroimaging - methods | Multivariate Analysis | Reproducibility of Results | Brain - anatomy & histology | Humans | Magnetic Resonance Imaging - methods | Models, Statistical | Support Vector Machine | Brain - physiology | Computer Simulation | Sensitivity and Specificity | Image Enhancement - methods | Pattern Recognition, Automated - methods | Diagnostic imaging | Medical colleges | Usage | Algorithms | Machine learning | Epidemiology | Alzheimer's disease

Analytic approximation | Permutation tests | SVM | ENGINEERING, BIOMEDICAL | FMRI DATA | CLASSIFICATION | PATTERNS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | INDEPENDENT COMPONENT ANALYSIS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MORPHOMETRY | SEGMENTATION | SELECTION | REGULARIZATION | SQUARES | RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING | Neuroimaging - methods | Multivariate Analysis | Reproducibility of Results | Brain - anatomy & histology | Humans | Magnetic Resonance Imaging - methods | Models, Statistical | Support Vector Machine | Brain - physiology | Computer Simulation | Sensitivity and Specificity | Image Enhancement - methods | Pattern Recognition, Automated - methods | Diagnostic imaging | Medical colleges | Usage | Algorithms | Machine learning | Epidemiology | Alzheimer's disease

Journal Article

THEORY OF PROBABILITY AND ITS APPLICATIONS, ISSN 0040-585X, 1993, Volume 38, Issue 2, pp. 360 - 367

Sufficient conditions for consistency of statistical models are deduced by using Frechet-Shmul'yan's necessary and sufficient conditions for conditionally...

FRECHET-SHMULYAN COMPACTNESS CRITERIA | THE HEWITT-SAVAGE 0-1-LAW | THE PERMUTATION INVARIANT SIGMA-ALGEBRAS | ANALYTIC METRIC SPACE | MAXIMUM LIKELIHOOD ESTIMATOR | SEPARABLE | STATISTICS & PROBABILITY | THE (UPPER, EMPIRICAL) INFORMATION FUNCTION | STATISTICAL MODEL | SAMPLE SPACE | THE PROJECTION THEOREM | CONSISTENT | POINTWISE COMPACT METRIZABLE | CONTROL MEASURE | THE UNKNOWN (TRUE) DISTRIBUTION | ASYMPTOTIC LIKELIHOOD THEORY | REFERENCE MEASURE | THE LIKELIHOOD FUNCTION THE LOG-LIKELIHOOD FUNCTION | CONDITIONALLY COMPACT | UPPER SEMICONTINUOUS | PARAMETER SET

FRECHET-SHMULYAN COMPACTNESS CRITERIA | THE HEWITT-SAVAGE 0-1-LAW | THE PERMUTATION INVARIANT SIGMA-ALGEBRAS | ANALYTIC METRIC SPACE | MAXIMUM LIKELIHOOD ESTIMATOR | SEPARABLE | STATISTICS & PROBABILITY | THE (UPPER, EMPIRICAL) INFORMATION FUNCTION | STATISTICAL MODEL | SAMPLE SPACE | THE PROJECTION THEOREM | CONSISTENT | POINTWISE COMPACT METRIZABLE | CONTROL MEASURE | THE UNKNOWN (TRUE) DISTRIBUTION | ASYMPTOTIC LIKELIHOOD THEORY | REFERENCE MEASURE | THE LIKELIHOOD FUNCTION THE LOG-LIKELIHOOD FUNCTION | CONDITIONALLY COMPACT | UPPER SEMICONTINUOUS | PARAMETER SET

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

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

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Resampling methods for parameter-free and robust feature selection with mutual information

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

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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