Skip to main content
SpringerLink
Log in

Minimum-error discrimination among three pure linearly independent symmetric qutrit states

  • Published:
Quantum Information Processing Aims and scope Submit manuscript

Abstract

Using a sufficient condition for POM which gives an optimal measurement to discriminate among given states, we obtain an optimum measurement maximizing the probability of correct detection of three equally-likely, symmetric, linearly-independent qutrit states. The maximum probability with which such states can be discriminated is also derived.

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. Peres A.: Quantum Theory: Concepts and Methods. Kluwer, Boston (1995)

    MATH  Google Scholar 

  2. Helstrom C.W.: Quantum Detection and Estimation Theory. Academic Press, New York (1976)

    Google Scholar 

  3. Andersson E., Barnett S.M., Gilson C.R., Hunter K.: Phys. Rev. A 65, 052308 (2002)

    Article  ADS  Google Scholar 

  4. Samsonov B.F.: Minimum error discrimination problem for pure qubit states. Phys. Rev. A 80, 052305 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  5. Chou C.-L., Hsu L.Y.: Phys. Rev. A 68, 042305 (2003)

    Article  ADS  Google Scholar 

  6. Barnett S.M.: Phys. Rev. A 64, 030303 (2001)

    Article  ADS  Google Scholar 

  7. Osaki M., Ban M., Hirota O.: Phys. Rev. A 54, 1691 (1996)

    Article  ADS  Google Scholar 

  8. Ban M., Kurokawa K., Momose R., Hirota O.: Int. J. Theor. Phys. 36, 1269 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  9. Eldar Y.C., Megretski A., Verghese G.C.: IEEE Trans. Inf. Theory 49, 1007 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  10. Eldar Y.C., Megretski A., Verghese G.C.: IEEE Trans. Inf. Theory 50, 1198 (2004)

    Article  MathSciNet  Google Scholar 

  11. Assalini A., Cariolaro G., Pierobon G.: Phys Rev A 81, 012315 (2010)

    Article  ADS  Google Scholar 

  12. Kimura G., Miyadera T., Imai H.: Phys. Rev. A 79, 062306 (2009)

    Article  ADS  Google Scholar 

  13. Jafarizadeh M.A., Mazhari Y., Aali M.: Quantum. Inf. Process. 10, 155 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  14. Jafarizadeh M.A., Sufiani R., Mazhari Khiavi Y.: Phys. Rev. A 84, 012102 (2011)

    Article  ADS  Google Scholar 

  15. Kennedy, R.S.: MIT Research Laboratory Electronic Quarterly Progress Report, technical report no. 110, (1973)

  16. Eldar Y.C.: Phys Rev. A 68, 052303 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  17. Chefles A., Barnett S.M.: Phys Lett. A 250, 223 (1998)

    Article  ADS  Google Scholar 

  18. Bae J., Hwang W.-Y., Han Y.-D.: Phys. Rev. Lett. 107, 170403 (2011)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Theoretical Physics and Astrophysics, University of Tabriz, Tabriz, 51664, Iran

    Y. Mazhari Khiavi & Y. Akbari Kourbolagh

  2. Department of Physics, Azarbaijan University of Tarbiat Moallem, Tabriz, 53714-161, Iran

    Y. Akbari Kourbolagh

Authors
  1. Y. Mazhari Khiavi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Y. Akbari Kourbolagh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Y. Mazhari Khiavi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Khiavi, Y.M., Kourbolagh, Y.A. Minimum-error discrimination among three pure linearly independent symmetric qutrit states. Quantum Inf Process 12, 1255–1260 (2013). https://doi.org/10.1007/s11128-012-0466-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11128-012-0466-8

Keywords

Search

Navigation