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

Quantum circuit for three-qubit random states

Source: Phys. Rev. A 80, 042309 (2009); doi:10.1103/PhysRevA.80.042309

Published 15 October 2009

KEYWORDS and PACS
Keywords
PACS
  • 03.67.Ac
    Quantum algorithms, protocols and simulations
  • 03.67.Bg
    Entanglement production and manipulation (quantum information)
  • 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
Olivier Giraud,1,2 Marko Žnidarič,3 and Bertrand Georgeot1,2
1Université de Toulouse; UPS; Laboratoire de Physique Théorique (IRSAMC); F-31062 Toulouse, France
2CNRS; LPT (IRSAMC); F-31062 Toulouse, France
3Department of Physics, Faculty of Mathematics and Physics, University of Ljubljana, SI-1000 Ljubljana, Slovenia
We explicitly construct a quantum circuit, which exactly generates random three-qubit states. The optimal circuit consists of three CNOT gates and fifteen single-qubit elementary rotations, parametrized by fourteen independent angles. The explicit distribution of these angles is derived, showing that the joint distribution is a product of independent distributions of individual angles apart from four angles. ©2009 The American Physical Society
History: Received 24 March 2009; published 15 October 2009
Permalink: http://link.aps.org/abstract/PRA/v80/e042309

REFERENCES (33)

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. A. Harrow, P. Hayden, and D. Leung, Phys. Rev. Lett. 92, 187901 (2004)
  2. B. Levi, C. C. Lopez, J. Emerson, and D. G. Cory, Phys. Rev. A 75, 022314 (2007).
  3. G. Toth and J. J. Garcia-Ripoll, Phys. Rev. A 75, 042311 (2007).
  4. R. Oliveira, O. C. O. Dahlsten, and M. B. Plenio, Phys. Rev. Lett. 98, 130502 (2007)
  5. M. Žnidarič, Phys. Rev. A 78, 032324 (2008).
  6. Y. S. Weinstein and C. S. Hellberg, Phys. Rev. Lett. 95, 030501 (2005)
    7. M. Žnidarič, Phys. Rev. A 76, 012318 (2007)
    Y. Most, Y. Shimoni, and O. Biham, ibid. 76, 022328 (2007)
    D. Rossini and G. Benenti, Phys. Rev. Lett. 100, 060501 (2008)
    Y. S. Weinstein, W. G. Brown, and L. Viola, Phys. Rev. A 78, 052332 (2008)
    L. Arnaud and D. Braun, ibid. 78, 062329 (2008).
  7. J. Emerson, E. Livine and S. Lloyd, Phys. Rev. A 72, 060302(R) (2005).
  8. A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. A. Smolin, and H. Weinfurter, Phys. Rev. A 52, 3457 (1995).
  9. A. Rauschenbeutel, G. Nogues, S. Osnaghi, P. Bertet, M. Brune, J. M. Raimond, and S. Haroche, Phys. Rev. Lett. 83, 5166 (1999).
  10. S. Gasparoni, J.-W. Pan, P. Walther, T. Rudolph, and A. Zeilinger, Phys. Rev. Lett. 93, 020504 (2004).
  11. M. Riebe, K. Kim, P. Schindler, T. Monz, P. O. Schmidt, T. K. Körber, W. Hänsel, H. Häffner, C. F. Roos, and R. Blatt, Phys. Rev. Lett. 97, 220407 (2006).
  12. M. Eibl, N. Kiesel, M. Bourennane, Ch. Kurtsiefer, and H. Weinfurter, Phys. Rev. Lett. 92, 077901 (2004).
  13. J. M. Fink, R. Bianchetti, M. Baur, M. Goeppl, L. Steffen, S. Filipp, P. J. Leek, A. Blais, and A. Wallraff, Phys. Rev. Lett. 103, 083601 (2009)
  14. M. Žnidarič, O. Giraud, and B. Georgeot, Phys. Rev. A 77, 032320 (2008).
  15. A. Acín, A. Andrianov, L. Costa, E. Jané, J. I. Latorre, and R. Tarrach, Phys. Rev. Lett. 85, 1560 (2000).
ADVERTISEMENT