Entanglement witness and multipartite quantum state discrimination
arXiv:2301.05420 · doi:10.1088/1751-8121/acccc0
Abstract
We consider multipartite quantum state discrimination and show that the minimum-error discrimination by separable measurements is closely related to the concept of entanglement witness. Based on the properties of entanglement witness, we establish some necessary and/or sufficient conditions on minimum-error discrimination by separable measurements. We also provide some conditions on the upper bound of the maximum success probability over all possible separable measurements. Our results are illustrated by examples of multidimensional multipartite quantum states. Finally, we provide a systematic way in terms of the entanglement witness to construct multipartite quantum state ensembles showing nonlocality in state discrimination.
arXiv comment13 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:2212.10799
References in corpus (17)
- Separability of Mixed States: Necessary and Sufficient Conditions
- Quantum Nonlocality without Entanglement
- Bell Inequalities and the Separability Criterion
- Optimization of entanglement witnesses
- Quantum State Discrimination
- Everything You Always Wanted to Know About LOCC (But Were Afraid to Ask)
- Quantum state discrimination and its applications
- Distinguishability of the Bell states
- Entanglement witnesses: construction, analysis and classification
- Maximum Confidence Quantum Measurements
- Structure of minimum-error quantum state discrimination
- Limitations on separable measurements by convex optimization
- A Return to the Optimal Detection of Quantum Information
- On the conditions for discrimination between quantum states with minimum error
- Nonlocal sets of orthogonal product states in arbitrary multipartite quantum system
- Small set of orthogonal product states with nonlocality
- Bound on optimal local discrimination of multipartite quantum states