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中国科学院大学学报 ›› 2023, Vol. 40 ›› Issue (3): 297-302.DOI: 10.7523/j.ucas.2021.0087

• 数学与物理学 • 上一篇    下一篇

三体Leggett型非定域性能被测试吗?

KHAN Abdul Sattar1, 杨马成1, 乔从丰1   

  1. 1. 中国科学院大学物理科学学院, 北京 100049;
    2. 中国科学院大学真空物理重点实验室, 北京 100049
  • 收稿日期:2021-05-28 修回日期:2021-06-03 发布日期:2023-03-17
  • 通讯作者: 乔从丰,E-mail:qiaocf@ucas.ac.cn
  • 基金资助:
    National Natural Science Foundation of China (11975236, 11635009)

Could tripartite Leggett-type nonlocality be tested?

KHAN Abdul1, YANG Macheng1, QIAO Congfeng1   

  1. 1. School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
    2. Key Laboratory of Vacuum Physics, University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2021-05-28 Revised:2021-06-03 Published:2023-03-17
  • Supported by:
    National Natural Science Foundation of China (11975236, 11635009)

摘要: Leggett不等式是对允许某些类型非定域性的二体关联的约束。对更多体的情况是否也可以得到这样的约束?我们对三体的情况找到了新的不等式,可以用来检验量子力学和非定域实在论之间的相容性。对某些测量装置,GHZ,W和任意三量子比特纯态违背了不等式。我们的不等式比文献(arXiv:1111.4119v1)中已有的不等式强。这些实验上可实现的不等式能推广到n体,这可以更好地解释多体情况下的非定域关联,也可以应用在超越标准量子密钥分发方案的密码密钥分发。

关键词: 多体非定域性, 三体Leggett模型, 非定域实在性

Abstract: The Leggett inequality is a constraint on the bipartite correlation that admits certain types of nonlocalities. Could such constraints be obtained for more parties? Here in search for the answer we found new inequalities for three parties which could be used to check the compatibility between quantum mechanics and nonlocal realism. For certain measurement settings violations are found for GHZ, W and an arbitrary three-qubit pure states. Our inequalities are stronger than the existing inequality in literature (arXiv:1111. 4119v1). These experimentally realizable inequalities, generalization to n-parties possible, could better our explanations for nonlocal correlations in multiparty case, along with some applications in cryptographic key distribution beyond the standard quantum key distribution schemes.

Key words: multipartite nonlocality, tripartite Leggett model, nonlocal realism

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