Home | About Journal | Web Links | E-mail Alerts | RSS RSS Icon | Browse

Correlations in local measurements on a quantum state, and complementarity as an explanation of nonclassicality

Source: Phys. Rev. A 80, 032319 (2009); doi:10.1103/PhysRevA.80.032319

Published 18 September 2009

KEYWORDS and PACS
Keywords
PACS
  • 03.67.Ac
    Quantum algorithms, protocols and simulations
  • 03.65.Ud
    Entanglement and quantum nonlocality
  • 03.67.Hk
    Quantum communication
  • 42.50.Dv
    Quantum state engineering and measurements (quantum optics)
  • YEAR: 2009
RELATED DATABASES

To view database links for this article,
you need to log in.
To view database links for this article,
you need to log in.
PUBLICATION DATA
Publisher:
AIP is a member of CrossRef APS
Shengjun Wu (吴盛俊),1,2 Uffe V. Poulsen,1 and Klaus Mølmer1
1Lundbeck Foundation Theoretical Center for Quantum System Research, Department of Physics and Astronomy, Aarhus University, DK-8000 Aarhus C, Denmark
2Hefei National Laboratory for Physical Sciences at Microscale, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China
We consider the classical correlations that two observers can extract by measurements on a bipartite quantum state and we discuss how they are related to the quantum mutual information of the state. We show with several examples how complementarity gives rise to a gap between the quantum and the classical correlations and we relate our quantitative finding to the so-called classical correlation locked in a quantum state. We derive upper bounds for the sum of classical correlation obtained by measurements in different mutually unbiased bases and we show that the complementarity gap is also present in the deterministic quantum computation with one quantum bit. ©2009 The American Physical Society
History: Received 19 May 2009; published 18 September 2009
Permalink: http://link.aps.org/abstract/PRA/v80/e032319

REFERENCES (47)

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. A. K. Ekert, Phys. Rev. Lett. 67, 661 (1991).
  2. C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, Phys. Rev. Lett. 70, 1895 (1993).
  3. C. H. Bennett and S. J. Wiesner, Phys. Rev. Lett. 69, 2881 (1992).
  4. E. Bagan, M. Baig, and R. Muñoz-Tapia, Phys. Rev. A 69, 050303(R) (2004).
  5. V. Meyer, M. A. Rowe, D. Kielpinski, C. A. Sackett, W. M. Itano, C. Monroe, and D. J. Wineland, Phys. Rev. Lett. 86, 5870 (2001).
  6. B. Groisman, S. Popescu, and A. Winter, Phys. Rev. A 72, 032317 (2005).
  7. P. Badziag, M. Horodecki, A. Sen De, and U. Sen, Phys. Rev. Lett. 91, 117901 (2003).
  8. M. Horodecki, P. Horodecki, R. Horodecki, J. Oppenheim, A. Sen, U. Sen, and B. Synak-Radtke, Phys. Rev. A 71, 062307 (2005).
  9. H. Ollivier and W. H. Zurek, Phys. Rev. Lett. 88, 017901 (2001).
  10. N. J. Cerf and C. Adami, Phys. Rev. A 55, 3371 (1997).
  11. S. Luo, Phys. Rev. A 77, 042303 (2008).
  12. C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, Phys. Rev. A 53, 2046 (1996).
  13. M. Piani, M. Christandl, C. E. Mora, and P. Horodecki, Phys. Rev. Lett. 102, 250503 (2009).
  14. H. P. Yuen and M. Ozawa, Phys. Rev. Lett. 70, 363 (1993).
  15. C. A. Fuchs and C. M. Caves, Phys. Rev. Lett. 73, 3047 (1994).
  16. B. Schumacher, Phys. Rev. A 51, 2738 (1995).
  17. S. M. Barnett and S. J. D. Phoenix, Phys. Rev. A 44, 535 (1991).
  18. M. J. W. Hall, E. Andersson, and T. Brougham, Phys. Rev. A 74, 062308 (2006).
  19. D. P. DiVincenzo, M. Horodecki, D. W. Leung, J. A. Smolin, and B. M. Terhal, Phys. Rev. Lett. 92, 067902 (2004).
  20. M. Piani, P. Horodecki, and R. Horodecki, Phys. Rev. Lett. 100, 090502 (2008).
  21. A. Datta and S. Gharibian, Phys. Rev. A 79, 042325 (2009).
  22. S. Luo, Phys. Rev. A 77, 022301 (2008).
  23. A. Datta, A. Shaji, and C. M. Caves, Phys. Rev. Lett. 100, 050502 (2008).
  24. R. F. Werner, Phys. Rev. A 40, 4277 (1989).
  25. K. Kraus, Phys. Rev. D 35, 3070 (1987).
  26. H. Maassen and J. B. M. Uffink, Phys. Rev. Lett. 60, 1103 (1988).
  27. M. J. W. Hall, Phys. Rev. Lett. 74, 3307 (1995).
  28. M. J. W. Hall, Phys. Rev. A 55, 100 (1997).
  29. S. Wu, S. Yu, and K. Mølmer, Phys. Rev. A 79, 022104 (2009).
  30. S. Wu, S. Yu, and K. Mølmer, Phys. Rev. A 79, 022320 (2009).
  31. M. A. Ballester and S. Wehner, Phys. Rev. A 75, 022319 (2007).
  32. R. B. Griffiths, S. Wu, L. Yu, and S. M. Cohen, Phys. Rev. A 73, 052309 (2006).
  33. E. Knill and R. Laflamme, Phys. Rev. Lett. 81, 5672 (1998).
  34. A. Datta, S. T. Flammia, and C. M. Caves, Phys. Rev. A 72, 042316 (2005).
ADVERTISEMENT