Experimentally friendly approach towards nonlocal correlations in multisetting N-partite Bell scenarios

Artur Barasiński; Antonín Černoch; Wiesław Laskowski; Karel Lemr; Tamás Vértesi; Jan Soubusta

doi:10.22331/q-2021-04-14-430

Experimentally friendly approach towards nonlocal correlations in multisetting N-partite Bell scenarios

Artur Barasiński^1,2, Antonín Černoch³, Wiesław Laskowski^4,5, Karel Lemr², Tamás Vértesi⁶, and Jan Soubusta²

¹Institute of Theoretical Physics, Uniwersity of Wroclaw, Plac Maxa Borna 9, 50-204 Wrocław, Poland
²RCPTM, Joint Laboratory of Optics of Palacký University and Institute of Physics of CAS, Faculty of Science, Palacký University, 17. listopadu 12, 771 46 Olomouc, Czech Republic
³Institute of Physics of the Czech Academy of Sciences, Joint Laboratory of Optics of Palacký University and Institute of Physics of CAS, 17. listopadu 50A, 772 07 Olomouc, Czech Republic
⁴Institute of Theoretical Physics and Astrophysics, Faculty of Mathematics, Physics and Informatics, University of Gdańsk, 80-308 Gdańsk, Poland
⁵International Centre for Theory of Quantum Technologies, University of Gdańsk, 80-308 Gdańsk, Poland
⁶MTA Atomki Lendület Quantum Correlations Research Group, Institute for Nuclear Research, P.O. Box 51, H-4001 Debrecen, Hungary

Published:	2021-04-14, volume 5, page 430
Eprint:	arXiv:2009.11691v2
Doi:	https://doi.org/10.22331/q-2021-04-14-430
Citation:	Quantum 5, 430 (2021).

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Abstract

In this work, we study a recently proposed operational measure of nonlocality by Fonseca and Parisio [Phys. Rev. A 92, 030101(R) (2015)] which describes the probability of violation of local realism under randomly sampled observables, and the strength of such violation as described by resistance to white noise admixture. While our knowledge concerning these quantities is well established from a theoretical point of view, the experimental counterpart is a considerably harder task and very little has been done in this field. It is caused by the lack of complete knowledge about the facets of the local polytope required for the analysis. In this paper, we propose a simple procedure towards experimentally determining both quantities for $N$-qubit pure states, based on the incomplete set of tight Bell inequalities. We show that the imprecision arising from this approach is of similar magnitude as the potential measurement errors. We also show that even with both a randomly chosen $N$-qubit pure state and randomly chosen measurement bases, a violation of local realism can be detected experimentally almost $100\%$ of the time. Among other applications, our work provides a feasible alternative for the witnessing of genuine multipartite entanglement without aligned reference frames.

► BibTeX data

@article{Barasinski2021experimentally,
  doi = {10.22331/q-2021-04-14-430},
  url = {https://doi.org/10.22331/q-2021-04-14-430},
  title = {Experimentally friendly approach towards nonlocal correlations in multisetting {N}-partite {B}ell scenarios},
  author = {Barasi{\'{n}}ski, Artur and {\v{C}}ernoch, Anton{\'{i}}n and Laskowski, Wies{\l{}}aw and Lemr, Karel and V{\'{e}}rtesi, Tam{\'{a}}s and Soubusta, Jan},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {5},
  pages = {430},
  month = apr,
  year = {2021}
}

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Cited by

[1] Kateřina Jiráková, Artur Barasiński, Antonín Černoch, Karel Lemr, and Jan Soubusta, "Measuring Concurrence in Qubit Werner States Without an Aligned Reference Frame", Physical Review Applied 16 5, 054042 (2021).

[2] Ari Patrick, Giulio Camillo, Fernando Parisio, and Barbara Amaral, "Bell-nonlocality quantifiers and their persistent mismatch with the entropy of entanglement", Physical Review A 107 4, 042410 (2023).

[3] Mahasweta Pandit, Artur Barasiński, István Márton, Tamás Vértesi, and Wiesław Laskowski, "Optimal tests of genuine multipartite nonlocality", New Journal of Physics 24 12, 123017 (2022).

[4] Artur Barasiński, Jan Peřina, and Antonín Černoch, "Quantification of Quantum Correlations in Two-Beam Gaussian States Using Photon-Number Measurements", Physical Review Letters 130 4, 043603 (2023).

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