4.6 Article

Optimal tests of genuine multipartite nonlocality

期刊

NEW JOURNAL OF PHYSICS
卷 24, 期 12, 页码 -

出版社

IOP Publishing Ltd
DOI: 10.1088/1367-2630/aca8c8

关键词

foundations of quantum mechanics; quantum entanglement; genuine multipartite nonlocality; linear programming

资金

  1. National Science Centre (Poland) [2016/23/G/ST2/04273, 2017/26/E/ST2/01008]
  2. Czech Science Foundation [20-17765S]
  3. Ministry of Education, Youth and Sports of the Czech Republic [2016/23/G/ST2/04273]
  4. EU (QuantERAeDICT)
  5. National Research, Development and Innovation Office NKFIH [2017/26/E/ST2/01008]
  6. Foundation for Polish Science (IRAP project ICTQT) [20-17765S]
  7. Foundation for Polish Science (E U via Smart Growth Operational Programme)
  8. [CZ.02.1.01/0.0/0.0/16_019/0000754]
  9. [2019-2.1.7-ERA-NET-2020-00003]
  10. [2018/MAB/5]

向作者/读者索取更多资源

This paper proposes an optimal and efficient numerical test for witnessing genuine multipartite nonlocality based on a geometric approach. It applies general tests to detect and characterize genuine n-way nonlocal correlations for various quantum systems. The paper also explores the extension of measurements beyond two and proposes a simple procedure to detect nonlocal correlations with high efficiency.
We propose an optimal and efficient numerical test for witnessing genuine multipartite nonlocality based on a geometric approach. In particular, we consider two non-equivalent models of local hidden variables, namely the Svetlichny and the no-signaling bilocal models. While our knowledge concerning these models is well established for Bell-type scenarios involving two measurement settings per party, the general case based on an arbitrary number of settings is a considerably more challenging task and very little work has been done in this field. In this paper, we applied such general tests to detect and characterize genuine n-way nonlocal correlations for various states of three qubits and qutrits. Apart from the fundamental problem of characterizing genuine multipartite nonlocal correlations, the extension of the number of measurements beyond two is also of practical importance. As a measure of nonlocality, we use the probability of violation of local realism under randomly sampled observables, and the strength of nonlocality, described by the resistance to white noise admixture. In particular, we analyze to what extent the Bell-type scenario involving two measurement settings can be used to certify genuine n-way nonlocal correlations generated for more general models. In addition, we propose a simple procedure to detect such nonlocal correlations for randomly chosen settings with an efficiency of up to 100%. Due to its near-perfect efficiency, our method may open new possibilities in device-independent quantum cryptography applications where strong nonlocality between all partners is required.

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