Separable Multipartite Mixed States - Operational Asymptotically Necessary and Sufficient Conditions
arXiv:quant-ph/0405063 · doi:10.1103/PhysRevLett.93.220503
Abstract
We introduce an operational procedure to determine, with arbitrary probability and accuracy, optimal entanglement witness for every multipartite entangled state. This method provides an operational criterion for separability which is asymptotically necessary and sufficient. Our results are also generalized to detect all different types of multipartite entanglement.
4 pages, 2 figures, submitted to Physical Review Letters. Revised version with new calculations
References in corpus (9)
- Separability Criterion for Density Matrices
- Separability of Mixed States: Necessary and Sufficient Conditions
- Separability criterion and inseparable mixed states with positive partial transposition
- Bell Inequalities and the Separability Criterion
- Unextendible Product Bases and Bound Entanglement
- Optimization of entanglement witnesses
- A complete family of separability criteria
- A Semidefinite Programming Approach to Optimal Unambiguous Discrimination of Quantum States
- Finding optimal strategies for minimum-error quantum-state discrimination
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