Skip to main content
SpringerLink
Log in

Observable estimation of bipartite mixed-state entanglement

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

Abstract

An analytic lower bound is presented for bipartite mixed-state entanglement which is obtained from convex roof construction of a variational definition of pure-state negativity. It is shown that this lower bound can be directly measured by one single projection operator or a few local observables in experiments without the requirement of simultaneous multiple copies of states. In particular, we show that the lower bound can serve as an exact entanglement measure for isotropic states.

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. Horodecki, Quantum Inf. Comput. 1, 3 (2001)

    MATH  MathSciNet  Google Scholar 

  2. M.B. Plenio, S. Virmani, Quantum Inf. Comput. 7, 1 (2007)

    MATH  MathSciNet  Google Scholar 

  3. S.P. Walborn et al., Phys. Rev. A 75, 032338 (2007)

    Article  ADS  Google Scholar 

  4. W.K. Wootters, Phys. Rev. Lett. 80, 2245 (1998)

    Article  ADS  Google Scholar 

  5. A. Peres, Phys. Rev. Lett. 77, 1413 (1996)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  6. G. Vidal, R.F. Werner, Phys. Rev. A 65, 032314 (2002)

    Article  ADS  Google Scholar 

  7. A.G. White et al., Phys. Rev. Lett. 83, 3103 (1999)

    Article  ADS  Google Scholar 

  8. H. Häffner et al., Nature 438, 643 (2005)

    Article  ADS  Google Scholar 

  9. K.J. Resch, P. Walther, A. Zeilinger, Phys. Rev. Lett. 94, 070402 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  10. M. Horodecki, P. Horodecki, R. Horodecki, Phys. Lett. A 223, 1 (1996)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  11. A. Klyachko et al., Appl. Phys. Lett. 88, 124102 (2006)

    Article  ADS  Google Scholar 

  12. J.B. Altepeter et al., Phys. Rev. Lett. 95, 033601 (2005)

    Article  ADS  Google Scholar 

  13. L. Aolita, F. Mintert, Phys. Rev. Lett. 97, 050501 (2006)

    Article  ADS  Google Scholar 

  14. F. Mintert, A. Buchleitner, Phys. Rev. Lett. 98, 140505 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  15. L. Aolita, A. Buchleitner, F. Mintert, Phys. Rev. A 78, 022308 (2008)

    Article  ADS  Google Scholar 

  16. F. Mintert et al., Phys. Rep. 415, 207 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  17. S.P. Walborn et al., Nature 440, 1022 (2006)

    Article  ADS  Google Scholar 

  18. C.-S. Yu, H.-S. Song, Phys. Rev. A 76, 022324 (2007)

    Article  ADS  Google Scholar 

  19. C.-S. Yu, C. Li, H.-S. Song, Phys. Rev. A 77, 012305 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  20. J.-M. Cai, W. Song, e-print: arXiv:0804.2246

  21. C.-J. Zhang, Y.-X. Gong, Y.-S. Zhang, G.-C. Guo, Phys. Rev. A 78, 042308 (2008)

    Article  ADS  Google Scholar 

  22. C.-S. Yu, L. Zhou, H.-S. Song, Phys. Rev. A 77, 022313 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  23. G. Vidal, J. Mod. Optics 47, 355 (2000)

    MathSciNet  ADS  Google Scholar 

  24. W. Greine, B. Müller, Quantum Mechanics: Symmetries, 2nd edn. (Springer-Verlag, New York, 1994)

    Google Scholar 

  25. C.-S. Yu, H.-S. Song, Phys. Lett. A 333, 364 (2004)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  26. C.-S. Yu, H.-S. Song, Phys. Rev. A 73, 022325 (2006)

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian, 116024, P.R. China

    C. S. Yu, K. H. Ma & H. S. Song

Authors
  1. C. S. Yu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. H. Ma
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. H. S. Song
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to C. S. Yu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yu, C., Ma, K. & Song, H. Observable estimation of bipartite mixed-state entanglement. Eur. Phys. J. D 56, 431–434 (2010). https://doi.org/10.1140/epjd/e2009-00282-6

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjd/e2009-00282-6

Keywords

Search

Navigation