Nonlocal sets of orthogonal multipartite product states with less members

Zuo, Huijuan; Liu, Jiahuan; Xiao-Fan, Zhen,; Fei, Shao-Ming

doi:10.1007/s11128-021-03320-9

Cited by 13 publications

(2 citation statements)

References 32 publications

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“…The following theorem shows that p SEP (E) in equation ( 12) is equal to q SEP (E) in equation (19).…”

Section: Separable Measurements and Quantum State Discriminationmentioning

confidence: 99%

“…Quantum nonlocal phenomenon also arises in discriminating multipartite quantum states; quantum nonlocality occurs when optimal state discrimination cannot be realized only by local operations and classical communication (LOCC) [14][15][16][17][18][19][20]. However, characterizing local discrimination of quantum states is a hard task and very little is known due to the lack of good mathematical structure for LOCC.…”

Section: Introductionmentioning

confidence: 99%

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Entanglement witness and multipartite quantum state discrimination

Kim

2023

J. Phys. A: Math. Theor.

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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 EW to construct multipartite quantum state ensembles showing nonlocality in state discrimination.

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“…The following theorem shows that p SEP (E) in equation ( 12) is equal to q SEP (E) in equation (19).…”

Section: Separable Measurements and Quantum State Discriminationmentioning

confidence: 99%