Entanglement criterion via general symmetric informationally complete measurements
arXiv:1810.03840 · doi:10.1007/s11128-018-2084-6
Abstract
We study the quantum separability problem by using general symmetric informationally complete measurements and present a separability criterion for arbitrary dimensional bipartite systems. We show by detailed examples that our criterion is more powerful than the existing ones in entanglement detection.
arXiv comment8 pages, 5 figures
References in corpus (25)
- Quantum entanglement
- Separability Criterion for Density Matrices
- Separability of Mixed States: Necessary and Sufficient Conditions
- Entanglement detection
- Separability criterion and inseparable mixed states with positive partial transposition
- The SIC Question: History and State of Play
- Entanglement detection via mutually unbiased bases
- Some Properties of the Computable Cross Norm Criterion for Separability
- Covariance matrices and the separability problem
- Mutually unbiased measurements in finite dimensions
- The generalized partial transposition criterion for separability of multipartite quantum states
- Enhanced entanglement criterion via symmetric informationally complete measurements
- Symmetric Informationally Complete Measurements of Arbitrary Rank
- Further results on entanglement detection and quantification from the correlation matrix criterion
- Entanglement detection using mutually unbiased measurements
- Generalized reduction criterion for separability of quantum states
- Quantum Separability Criteria for Arbitrary Dimensional Multipartite States
- Test for entanglement using physically observable witness operators and positive maps
- Gisin's Theorem for Arbitrary Dimensional Multipartite States
- Perfect Test of Entanglement for Two-level Systems
- Separability criteria via sets of mutually unbiased measurements
- Entanglement detection via general SIC-POVMs
- Inequalities Detecting Quantum Entanglement for Systems
- Improved separability criteria via some classes of measurements
- Entanglement properties of multipartite informationally complete quantum measurements
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- Symmetric measurement-induced lower bounds of concurrence
- Estimating the Schmidt numbers of quantum states via symmetric measurements
- Bipartite Bound Entanglement
- Quantum Separability Criteria Based on Symmetric Measurements