About this Journal Submit a Manuscript Table of Contents
Advances in Mathematical Physics
Volume 2014 (2014), Article ID 367905, 4 pages
http://dx.doi.org/10.1155/2014/367905
Research Article

Scales of Time Where the Quantum Discord Allows an Efficient Execution of the DQC1 Algorithm

1Centro Universitario UAEM Valle de Chalco, UAEMex María Isabel, 56615 Valle de Chalco, MEX, Mexico
2Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Circuito Exterior, CU, Coyoacán, DF, Mexico
3Departamento de Ciencias Básicas, Universidad Autónoma Metropolitana, Unidad Azcapotzalco, Avenida San Pablo 180, Colonia Reynosa Tamaulipas, 02200 Azcapotzalco, DF, Mexico

Received 19 December 2013; Accepted 16 February 2014; Published 23 March 2014

Academic Editor: Shi-Hai Dong

Copyright © 2014 M. Ávila 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. R. I. A. Davis, R. Delbourgo, and P. D. Jarvis, “Covariance, correlation and entanglement,” Journal of Physics A: Mathematical and General, vol. 33, no. 9, pp. 1895–1914, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. V. Vedral, “Classical correlations and entanglement in quantum measurements,” Physical Review Letters, vol. 90, no. 5, Article ID 050401, 2003. View at Scopus
  3. Y. K. Bai, D. Yang, and Z. D. Wang, “Multipartite quantum correlation and entanglement in four-qubit pure states,” Physical Review A, vol. 76, Article ID 022336, 2007. View at Publisher · View at Google Scholar
  4. L. He, G. Bester, and A. Zunger, “Singlet-triplet splitting, correlation, and entanglement of two electrons in quantum dot molecules,” Physical Review B, vol. 72, Article ID 195307, 2005. View at Publisher · View at Google Scholar
  5. M. J. Zhao, S. M. Fei, and Z. X. Wang, “Entanglement of multipartite Schmidt-correlated states,” Physics Letters A, vol. 372, no. 15, pp. 2552–2557, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  6. E. Knill and R. Laflamme, “Power of one bit of quantum information,” Physical Review Letters, vol. 81, no. 25, pp. 5672–5675, 1998. View at Scopus
  7. D. Poulin, R. Blume-Kohout, R. Laflamme, and H. Ollivier, “Exponential speedup with a single bit of quantum information: measuring the average fidelity decay,” Physical Review Letters, vol. 92, no. 17, Article ID 177906, 2004. View at Publisher · View at Google Scholar · View at Scopus
  8. A. Datta, A. Shaji, and C. Caves, “Quantum discord and the power of one qubit,” Physical Review Letters, vol. 100, Article ID 050502, 2008. View at Publisher · View at Google Scholar
  9. A. Datta and G. Vidal, “Role of entanglement and correlations in mixed-state quantum computation,” Physical Review A, vol. 75, no. 4, Article ID 042310, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  10. B. P. Lanyon, M. Barbieri, M. P. Almeida, and A. G. White, “Experimental quantum computing without entanglement,” Physical Review Letters, vol. 101, Article ID 200501, 2008. View at Publisher · View at Google Scholar
  11. H. Ollivier and W. H. Zurek, “Quantum discord: a measure of the quantumness of correlations,” Physical Review Letters, vol. 88, Article ID 017901, 2001. View at Publisher · View at Google Scholar
  12. R. Shankar, Principles of Quantum Mechanics, Plenum Press, New York, NY, USA, 2nd edition, 1994.
  13. R. R. Puri, Mathematical Methods of Quantum Optics, vol. 79, Springer, Berlin, Germany, 2001. View at MathSciNet
  14. G. Passante, O. Moussa, D. A. Trottier, and R. Laflamme, “Experimental detection of nonclassical correlations in mixed-state quantum computation,” Physical Review A, vol. 84, Article ID 044302, 2011. View at Publisher · View at Google Scholar
  15. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press, Cambridge, UK, 2000. View at MathSciNet
  16. G. Passante, O. Moussa, and R. Laflamme, “Measuring geometric quantum discord using one bit of quantum information,” Physical Review A, vol. 85, Article ID 032325, 2012. View at Publisher · View at Google Scholar
  17. D. P. DiVincenzo, “Two-bit gates are universal for quantum computation,” Physical Review A, vol. 51, Article ID 1015, 1995. View at Publisher · View at Google Scholar