Entanglement witness and nonlocality in confidence of measurement from multipartite quantum state discrimination
arXiv:2405.20586 · doi:10.1038/s41598-024-75149-y
Abstract
We consider multipartite quantum state discrimination and provide a specific relation between the properties of entanglement witness and quantum nonlocality inherent in the confidence of measurements. We first provide the definition of the confidence of measurements as well as its useful properties for various types of multipartite measurements. We show that globally maximum confidence that cannot be achieved by local operations and classical communication strongly depends on the existence of entanglement witness. We also provide conditions for an upper bound on maximum of locally-achievable confidences. Finally, we establish a method in terms of entanglement witness to construct quantum state ensemble with nonlocal maximum confidences.
arXiv comment12 pages, no figure
References in corpus (26)
- Quantum entanglement
- Separability Criterion for Density Matrices
- Separability of Mixed States: Necessary and Sufficient Conditions
- Bell nonlocality
- Quantum Resource Theories
- 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
- Nonlocality, Asymmetry, and Distinguishing Bipartite States
- Distinguishability of the Bell states
- Entanglement witnesses: construction, analysis and classification
- Maximum Confidence Quantum Measurements
- Distinguishing Arbitrary Multipartite Basis Unambiguously Using Local Operations and Classical Communication
- A framework for bounding nonlocality of state discrimination
- Universal observable detecting all two-qubit entanglement and determinant based separability tests
- A Return to the Optimal Detection of Quantum Information
- Contextual advantages and certification for maximum confidence discrimination
- Spectral properties of entanglement witnesses
- Separability in terms of a single entanglement witness
- Maximum confidence measurement for qubit states
- Bound on optimal local discrimination of multipartite quantum states
- Bipartite quantum state discrimination and decomposable entanglement witness
- Entanglement witness and multipartite quantum state discrimination