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Cited by 49Quantum Mechanics and ApplicationsQuantum Information and CryptographyNoncommutative and Quantum Gravity Theories

Maximally Nonlocal Theories Cannot Be Maximally Random

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de la Torre, Gonzalo, Hoban, Matty J., Dhara, Chirag, Prettico, Giuseppe, Acín, Antonio·2015·Physical Review Letters
DOI 10.1103/physrevlett.114.160502
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Abstract

Correlations that violate a Bell inequality are said to be nonlocal; i.e., they do not admit a local and deterministic explanation. Great effort has been devoted to study how the amount of nonlocality (as measured by a Bell inequality violation) serves to quantify the amount of randomness present in observed correlations. In this work we reverse this research program and ask what do the randomness certification capabilities of a theory tell us about the nonlocality of that theory. We find that, contrary to initial intuition, maximal randomness certification cannot occur in maximally nonlocal theories. We go on and show that quantum theory, in contrast, permits certification of maximal randomness in all dichotomic scenarios. We hence pose the question of whether quantum theory is optimal for randomness; i.e., is it the most nonlocal theory that allows maximal randomness certification? We answer this question in the negative by identifying a larger-than-quantum set of correlations capable of this feat. Not only are these results relevant to understanding quantum mechanics' fundamental features, but also put fundamental restrictions on device-independent protocols based on the no-signaling principle.

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  • In a more generic scenario involving non-locality and randomness, maximally non-local theories cannot be maximally random.

    “Furthermore, as discussed in a more generic scenario involving non-locality and randomness, it is shown that maximally non-local theories cannot be maximally random. 69”

    From Quantum random number generation (2016) · cites this paper as [69]

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Cites

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Research works printed but not linked: 31

  1. N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, S. Wehner, arXiv:1303.2849. · arXiv
  2. V. Scarani, Nature 988,989 (2010).
  3. Pironio et al, Nature 464, 1021 (2010).
  4. R. Colbeck, PhD Thesis, University of Cambridge (2006).
  5. R. Colbeck and R. Renner, Nat Phys, 8(6), 450-454, (2012).
  6. R. Gallego et al, Nature Communications 4, 2654 (2013).
  7. Acín et al, Phys. Rev. Lett. 98, 230501 (2007);
  8. B. W. Reichardt, F. Unger and U. Vazirani, Nature 496, 456460 (2013).
  9. J. Barrett, L. Hardy and A. Kent, Phys. Rev. Lett. 95, 010503 (2005).
  10. S. Popescu and D. Rohrlich, Found. Phys. 24, 379 (1994).
  11. M. L. Almeida, J.-D. Bancal, N. Brunner, A. Acin, N. Gisin, S. Pironio, Phys. Rev. Lett. 104, 230404 (2010).
  12. J. F. Clauser, M. A. Horne, A. Shimony, R. A. Holt, Phys. Rev. Lett. 23, 880 (1969)
  13. A. Acín, S. Massar, S. Pironio, Phys. Rev. Lett. 108, 100402 (2012).
  14. M. Pawlowski et al, Nature 461, 1101 (2009).
  15. C. Dhara, G. de la Torre and A. Acín, Phys. Rev. Lett. 112, 100402 (2014).
  16. L. P. Thinh, L. Sheridan, V. Scarani, Phys. Rev. A 87, 062121 (2013).
  17. N. S. Jones, Ll. Masanes Phys. Rev. A 72, 052312 (2005).
  18. J. Barrett and S. Pironio, Phys. Rev. Lett. 95, 140401 (2005).
  19. S. Pironio, J-D. Bancal, V. Scarani. J. Phys. A: Math. Theor. 44, 065303 (2011)
  20. L. Aolita, R. Gallego, A. Cabello, A. Acín, Phys. Rev. Lett. 108, 100401 (2012).
  21. C. Dhara, G. Prettico and A. Acín, Phys. Rev. A 88, 052116 (2013).
  22. T. Franz, F. Furrer, R.F. Werner, Phys. Rev. Lett. 106, 250502 (2011).
  23. C. A. Miller and Y. Shi, 8th Conference on the Theory of Quan- tum Computation, Communication and Cryptography (TQC 2013) 22, 254-262 (2013).
  24. M. J. Hoban et al, New J. Physics 13, 023014 (2011).
  25. A. Acín, S. Massar and S. Pironio, Phys. Rev. Lett. 108, 100402 (2012).
  26. T. Fritz et al, Nature Communications 4, 2263 (2013).
  27. M. Navascués, S. Pironio, A. Acín, Phys. Rev. Lett. 98, 010401 (2007);
  28. M. Navascués, S. Pironio, A. Acín, New J. Phys. 10, 073013 (2008).
  29. R. Gallego, L. E. Würflinger, A. Acín, M. Navascués, Phys. Rev. Lett. 107, 210403 (2011).
  30. M. Navascués, Y. Guryanova, M. J. Hoban, A. Acín, Nature Communications 6, 6288 (2015).
  31. U. Vazirani and T. Vidick, arXiv:1210.1810v2] [quant-ph] (2012). · arXiv

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Authors
de la Torre, G., Hoban, M. J., Dhara, C., Prettico, G., & Acín, A.
Affiliations
  • Institute of Photonic Sciences (ES)
  • Institució Catalana de Recerca i Estudis Avançats (ES)
ORCID
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
2015-04-22
Volume
114
Issue
16
Pages
160502-160502
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
DOI
10.1103/physrevlett.114.160502
OpenAlex
W2041214492
Cited by
49
References
35
Citations by year
2026: 1 · 2025: 4 · 2024: 2 · 2022: 2 · 2021: 2 · 2020: 1 · 2019: 25 · 2018: 2 · 2017: 3 · 2016: 4 · 2015: 3
FWCI
2.03
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review Letters (publishedVersion)
  • PubMed (publishedVersion)
  • LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) (acceptedVersion, cc-by-nc-nd)
  • RECERCAT (Consorci de Serveis Universitaris de Catalunya) (acceptedVersion, other-oa)
  • arXiv (Cornell University) (submittedVersion)
  • Goldsmiths (University of London) (submittedVersion)
  • UPCommons institutional repository (Universitat Politècnica de Catalunya) (submittedVersion, cc-by-nc-nd)
  • arXiv (Cornell University)
Funders
  • European Research Council
  • John Templeton Foundation
  • Generalitat de Catalunya
  • Ministerio de Economía y Competitividad
  • FPInnovations
  • Engineering and Physical Sciences Research Council
  • DIQIP
  • FQXi Large Grants
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
Keywords
randomness certification, nonlocality, Bell inequality violation, quantum randomness

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