Orthogonal product sets with strong quantum nonlocality on a plane structure

Zhou, Huaqi; Gao, Ting; Yan, Fengli

doi:10.1103/physreva.106.052209

Cited by 9 publications

(1 citation statement)

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“…In 1999, Bennett et al [9] firstly presented an initial result by demonstrating a LOCC indistinguishable orthogonal product basis in C 3 ⊗ C 3 . Under their influence many orthogonal product sets with quantum nonlocality were provided in bipartite [10,11] and multipartite systems [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. Zhang et al [27] found a set of orthogonal product states which * Author to whom any correspondence should be addressed.…”

Section: Introductionmentioning

confidence: 99%

Quantum nonlocality without entanglement in a 2n-partite system

Dong,

Zhang,

Bai

et al. 2024

Laser Phys. Lett.

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In recent years, researchers focused their attention on the construction of nonlocal product states in multipartite quantum systems. This paper proposes a novel partitioning method for multipartite quantum systems, aiming to improve the operation efficiency. Firstly, we divide 2n subsystems into n parts two by two and implement orthogonality-preserving local measurement on the partitioned composite systems. Subsequently, based on the partitioning mode, nonlocal orthogonal product states in ( C 3 ) ⊗ 6 and ( C 4 ) ⊗ 6 are given. Finally, we construct nonlocal orthogonal product states in ( C d ) ⊗ 2 n and discuss the cases where d is odd and even. Our results demonstrate the phenomenon of nonlocality without entanglement in a 2n-partite system.

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