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Advances in Mathematical Physics
Volume 2010 (2010), Article ID 293245, 14 pages
http://dx.doi.org/10.1155/2010/293245
Research Article

Simulation of Equatorial von Neumann Measurements on GHZ States Using Nonlocal Resources

Group of Applied Physics, University of Geneva, 20 rue de l'Ecole-de-Médecine, 1211 Geneva 4, Switzerland

Received 31 August 2009; Accepted 11 December 2009

Academic Editor: Shao-Ming Fei

Copyright © 2010 Jean-Daniel Bancal et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. J. S. Bell, Speakable and Unspeakable in Quantum Mechanics, Cambridge University Press, Cambridge, UK, 1987. View at Zentralblatt MATH · View at MathSciNet
  2. A. Aspect, “Bell's inequality test: more ideal than ever,” Nature, vol. 398, no. 6724, pp. 189–190, 1999. View at Publisher · View at Google Scholar
  3. B. F. Toner and D. Bacon, “Communication cost of simulating Bell correlations,” Physical Review Letters, vol. 91, no. 18, Article ID 187904, 4 pages, 2003. View at Publisher · View at Google Scholar
  4. J. Barrett, N. Linden, S. Massar, S. Pironio, S. Popescu, and D. Roberts, “Nonlocal correlations as an information-theoretic resource,” Physical Review A, vol. 71, no. 2, Article ID 022101, 2005. View at Publisher · View at Google Scholar · View at Scopus
  5. N. J. Cerf, N. Gisin, S. Massar, and S. Popescu, “Simulating maximal quantum entanglement without communication,” Physical Review Letters, vol. 94, no. 22, Article ID 220403, 4 pages, 2005. View at Publisher · View at Google Scholar · View at Scopus
  6. N. Brunner, N. Gisin, S. Popescu, and V. Scarani, “Simulation of partial entanglement with nonsignaling resources,” Physical Review A, vol. 78, no. 5, Article ID 052111, 2008. View at Publisher · View at Google Scholar · View at Scopus
  7. T. E. Tessier, C. M. Caves, I. H. Deutsch, B. Eastin, and D. Bacon, “Optimal classical-communication-assisted local model of n-qubit Greenberger-Horne-Zeilinger correlations,” Physical Review A, vol. 72, no. 3, Article ID 032305, 5 pages, 2005. View at Publisher · View at Google Scholar · View at Scopus
  8. J. Barrett, C. M. Caves, B. Eastin, M. B. Elliott, and S. Pironio, “Modeling Pauli measurements on graph states with nearest-neighbor classical communication,” Physical Review A, vol. 75, no. 1, Article ID 012103, 2007. View at Publisher · View at Google Scholar · View at Scopus
  9. A. Broadbent, P. R. Chouha, and A. Tapp, “The GHZ state in secret sharing and entanglement simulation,” in Proceedings of the 3rd International Conference on Quantum, Nano and Micro Technologies (ICQNM '09), pp. 59–62, Cancun, China, February 2009.
  10. S. Popescu and D. Rohrlich, “Quantum nonlocality as an axiom,” Foundations of Physics, vol. 24, no. 3, pp. 379–385, 1994. View at Publisher · View at Google Scholar · View at MathSciNet
  11. A. C. Yao, “Protocols for secure computations,” in Proceedings of the 23rd Annual Symposium on Foundations of Computer Science (Chicago, Ill., 1982), pp. 160–164, IEEE, New York, NY, USA, 1982. View at MathSciNet
  12. D. Collins, N. Gisin, S. Popescu, D. Roberts, and V. Scarani, “Bell-type inequalities to detect true n-body nonseparability,” Physical Review Letters, vol. 88, no. 17, Article ID 170405, 4 pages, 2002. View at Scopus
  13. M. Seevinck and G. Svetlichny, “Bell-type inequalities for partial separability in N-particle systems and quantum mechanical violations,” Physical Review Letters, vol. 89, no. 6, Article ID 060401, 4 pages, 2002. View at Publisher · View at Google Scholar · View at MathSciNet
  14. J.-D. Bancal, C. Branciard, N. Gisin, and S. Pironio, “Quantifying multipartite nonlocality,” Physical Review Letters, vol. 103, no. 9, Article ID 090503, 2009. View at Publisher · View at Google Scholar · View at Scopus
  15. G. Svetlichny, “Distinguishing three-body from two-body nonseparability by a Bell-type inequality,” Physical Review D, vol. 35, no. 10, pp. 3066–3069, 1987. View at Publisher · View at Google Scholar · View at MathSciNet
  16. J. Barrett and S. Pironio, “Popescu-Rohrlich correlations as a unit of nonlocality,” Physical Review Letters, vol. 95, no. 14, Article ID 140401, 4 pages, 2005. View at Publisher · View at Google Scholar · View at Scopus
  17. J.-D. Bancal, S. Pironio, and N. Gisin, in preparation.
  18. E. Kushilevitz and N. Nisan, Communication Complexity, Cambridge University Press, Cambridge, UK, 1997. View at MathSciNet