The construction of sets with strong nonlocality using fewer states

Bichen Che, Zhaoqian Liu, Yitong Zhang, Zhao Dou, Xiubo Chen, Jian Li and Yixian Yang

Physica A: Statistical Mechanics and its Applications, 2023, vol. 619, issue C

Abstract: Reducing the number of states is significant for exploring which states are closely related to nonlocality. In this paper, we investigate how to construct the set exhibiting strong nonlocality using fewer states. Firstly, we focus on the tripartite system and establish a general set of orthogonal product states with the assistance of Rubik’s cube. By removing some states which differ by relative phases, the size of the set decreases from Od2 to Od while the strength of nonlocality is not affected. Furthermore, similar to the tripartite system, two irreducible sets with different nonlocality strength in four-party quantum system are demonstrated, both of which contain fewer states. Our research significantly reduces the number of states and can be used in a variety of quantum cryptographic protocols.

Keywords: Quantum strong nonlocality; Orthogonal product states; Fewer states; Relative phase (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:619:y:2023:i:c:s0378437123002285

DOI: 10.1016/j.physa.2023.128673

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