Optimal tests of genuine multipartite nonlocality
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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2022-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/aca8c8 |
| _version_ | 1797748802111668224 |
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| author | Mahasweta Pandit Artur Barasiński István Márton Tamás Vértesi Wiesław Laskowski |
| author_facet | Mahasweta Pandit Artur Barasiński István Márton Tamás Vértesi Wiesław Laskowski |
| author_sort | Mahasweta Pandit |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T16:11:03Z |
| format | Article |
| id | doaj.art-fae0725a3adf4288a5584d497767e793 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:11:03Z |
| publishDate | 2022-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-fae0725a3adf4288a5584d497767e7932023-08-09T14:10:01ZengIOP PublishingNew Journal of Physics1367-26302022-01-01241212301710.1088/1367-2630/aca8c8Optimal tests of genuine multipartite nonlocalityMahasweta Pandit0https://orcid.org/0000-0001-7832-0627Artur Barasiński1István Márton2Tamás Vértesi3https://orcid.org/0000-0003-4437-9414Wiesław Laskowski4https://orcid.org/0000-0001-5166-0373Institute of Theoretical Physics and Astrophysics, Faculty of Mathematics, Physics and Informatics, University of Gdańsk , 80-308 Gdańsk, PolandJoint Laboratory of Optics of Palacký University and Institute of Physics of Czech Academy of Sciences , 771 46 Olomouc, Czech Republic; Faculty of Physics, University of Wrocław , PL-50-204 Wrocław, PolandMTA Atomki Lendület Quantum Correlations Research Group, Institute for Nuclear Research , PO Box 51, H-4001 Debrecen, HungaryMTA Atomki Lendület Quantum Correlations Research Group, Institute for Nuclear Research , PO Box 51, H-4001 Debrecen, HungaryInstitute of Theoretical Physics and Astrophysics, Faculty of Mathematics, Physics and Informatics, University of Gdańsk , 80-308 Gdańsk, Poland; International Centre for Theory of Quantum Technologies, University of Gdańsk , 80-308 Gdańsk, PolandWe 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.https://doi.org/10.1088/1367-2630/aca8c8foundations of quantum mechanicsquantum entanglementgenuine multipartite nonlocalitylinear programming |
| spellingShingle | Mahasweta Pandit Artur Barasiński István Márton Tamás Vértesi Wiesław Laskowski Optimal tests of genuine multipartite nonlocality New Journal of Physics foundations of quantum mechanics quantum entanglement genuine multipartite nonlocality linear programming |
| title | Optimal tests of genuine multipartite nonlocality |
| title_full | Optimal tests of genuine multipartite nonlocality |
| title_fullStr | Optimal tests of genuine multipartite nonlocality |
| title_full_unstemmed | Optimal tests of genuine multipartite nonlocality |
| title_short | Optimal tests of genuine multipartite nonlocality |
| title_sort | optimal tests of genuine multipartite nonlocality |
| topic | foundations of quantum mechanics quantum entanglement genuine multipartite nonlocality linear programming |
| url | https://doi.org/10.1088/1367-2630/aca8c8 |
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