Skip to main content
SpringerLink
Log in

Universal quantum Controlled-NOT gate

  • Quantum Information
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

An investigation of an optimal universal unitary Controlled-NOT gate that performs a specific operation on two unknown states of qubits taken from a great circle of the Bloch sphere is presented. The deep analogy between the optimal universal C-NOT gate and the ‘equatorial’ quantum cloning machine (QCM) is shown. In addition, possible applications of the universal C-NOT gate are briefly discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000)

  2. W.K. Wootters, W.H. Zurek, Nature 299, 802 (1982)

    Article  ADS  Google Scholar 

  3. V. Bužek, M. Hillery, R.F. Werner, Phys. Rev. A 60, R2626 (1999)

    Article  ADS  Google Scholar 

  4. N. Gisin, S. Popescu, Phys. Rev. Lett. 83, 432 (1999)

    Article  ADS  Google Scholar 

  5. V. Bužek, M. Hillery, Phys. Rev. A 62, 022303 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  6. V. Bužek, M. Hillery, Phys. Rev. A 54, 1844 (1996)

    Article  MathSciNet  ADS  Google Scholar 

  7. N.J. Cerf, Acta. Phys. Slov. 48, 115 (1998)

    MathSciNet  Google Scholar 

  8. D.B. Horoshko, M.I. Kolobov, S.Ya. Kilin, e-print arXiv:0412188 (2004)

  9. A.K. Pati, Phys. Rev. A 66, 062319 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  10. D. Bruß, M. Cinchetti, G.M. D’Ariano, C. Macchiavello, Phys. Rev. A 62, 012302 (2000)

    Article  ADS  Google Scholar 

  11. K. Audenaert, B. DeMoor, Phys. Rev. A 65, R030302 (2002)

    Article  ADS  Google Scholar 

  12. J. Fiurášek, Phys. Rev. A 67, 052314 (2003)

    Article  ADS  Google Scholar 

  13. L.-M. Duan, G.-C. Guo, Phys. Rev. Lett. 80, 4999 (1998)

    Article  ADS  Google Scholar 

  14. A.K. Pati, Phys. Rev. Lett. 83, 2849 (1999)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  15. V. Scarani, S. Iblisbir, N. Gisin, Rev. Mod. Phys. 77, 1225 (2005)

    Article  ADS  Google Scholar 

  16. R. Jozsa, N. Linden, Proc. Roy. Soc. Lond. A 459, 2011 (2003)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  17. E. Biham, C. Brassard, D. Kenigsberg, T. Mor, Theor. Comput. Sci. 320, 15 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  18. F. DeMartini, V. Bužek, F. Sciarrino, C. Sias, Nature 419, 815 (2002)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Max-Planck-Institut für Kernphysik, Postfach 103980, 69029, Heidelberg, Germany

    M. Siomau

  2. Physikalisches Institut, Heidelberg Universität, 69120, Heidelberg, Germany

    M. Siomau

  3. Department of Physics, University of Oulu, PO Box 3000, 90014, Oulu, Finland

    S. Fritzsche

  4. GSI Helmholtzzentrum für Schwerionenforschung, 64291, Darmstadt, Germany

    S. Fritzsche

Authors
  1. M. Siomau
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Fritzsche
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Siomau.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Siomau, M., Fritzsche, S. Universal quantum Controlled-NOT gate. Eur. Phys. J. D 60, 417–421 (2010). https://doi.org/10.1140/epjd/e2010-00226-1

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjd/e2010-00226-1

Keywords

Search

Navigation