Journal of the Korean Physical Society

, Volume 62, Issue 5, pp 721–724 | Cite as

Quantum error correction of photon loss with quantum encoding

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Abstract

Long-distance quantum communication with high fidelity is the main obstacle to creating a quantum network. A scheme to recover the loss of one photon with a three-to-eight qubit encoding is presented. The qubit loss is first detected using a quantum nondemolition measurement and is then transformed into a standard qubit error by inserting a new photon. The state of qubits is reconstructed via a sequence of one projective measurement, two single-qubit gates, and seven controlled-NOT operations. No ancillary qubits are required. Finally, the cost of resources is analyzed.

Keywords

Quantum encoding Quantum error correction Qubit loss Quantum communication 
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References

  1. [1]
    C. H. Bennett, Phys. Today 48, 24 (1995).CrossRefGoogle Scholar
  2. [2]
    A. Ekert and C. Macchiavello, Phys. Rev. Lett. 77, 2585 (1996).ADSCrossRefGoogle Scholar
  3. [3]
    S. Wang, W. Chen, J. F. Guo, Z. Q. Yin, H. W. Li, Z. Zhou, G. C. Guo and Z. F. Han, Opt. Lett. 37, 1008 (2012).ADSCrossRefGoogle Scholar
  4. [4]
    G. Brida, A. Cavanna, I. P. Degiovanni, M. Genovese and P. Traina, Laser Phys. Lett. 9, 247 (2012).ADSCrossRefGoogle Scholar
  5. [5]
    J. W. Pan, M. Daniell, S. Gasparoni, G. Weihs and A. Zeilinger, Phys. Rev. Lett. 86, 4435 (2001).ADSCrossRefGoogle Scholar
  6. [6]
    Z. Zhao, Y. A. Chen, A. N. Zhang, T. Yang, H. J. Briegel and J. W. Pan, Nature 430, 54 (2004).ADSCrossRefGoogle Scholar
  7. [7]
    C. Ospelkaus, U. Warring, Y. Colombe, K. R. Brown, J. M. Amini, D. Leibfried and D. J. Wineland, Nature 476, 181 (2011).ADSCrossRefGoogle Scholar
  8. [8]
    A. Bermudez, P. O. Schmidt, M. B. Plenio and A. Retzker, Phys. Rev. A 85, 040302(R) (2012).ADSCrossRefGoogle Scholar
  9. [9]
    J. I. Cirac, A. K. Ekert, S. F. Huelga and C. Macchiavello, Phys. Rev. A 59, 4249 (1999).MathSciNetADSCrossRefGoogle Scholar
  10. [10]
    D. P. DiVincenzo, Fonschr. Phys. 48, 771 (2000).MATHCrossRefGoogle Scholar
  11. [11]
    R. M. Gingrich, P. Kok, H. Lee, F. Vatan and J. P. Dowling, Phys. Rev. Lett. 91, 217901 (2003).ADSCrossRefGoogle Scholar
  12. [12]
    J. Vala, K. B. Whaley and D. S. Weiss, Phys. Rev. A 72, 052318 (2005).ADSCrossRefGoogle Scholar
  13. [13]
    W. Wasilewski and K. Banaszek, Phys. Rev. A 75, 042316 (2007).ADSCrossRefGoogle Scholar
  14. [14]
    M. Lassen, M. Sabuncu, A. Huck, J. Niset, G. Leuchs, N. J. Cerf and U. L. Andersen, Nat. Photonics 4, 700 (2010).ADSCrossRefGoogle Scholar
  15. [15]
    A. R. Calderbank and P. W. Shor, Phys. Rev. A 54, 1098 (1996).ADSCrossRefGoogle Scholar
  16. [16]
    A. Steane, Proc. R. Soc. Lond. A 452, 2551 (1996).MathSciNetADSMATHCrossRefGoogle Scholar
  17. [17]
    M. Grassl, Th. Beth and T. Pellizzari, Phys. Rev. A 56, 33 (1997).MathSciNetADSCrossRefGoogle Scholar
  18. [18]
    T. B. Pittman and J. D. Franson, Phys. Rev. A 66, 062302 (2002).ADSCrossRefGoogle Scholar
  19. [19]
    E. Knill, R. Laflamme and G. J. Milburn, Nature 409, 46 (2001).ADSCrossRefGoogle Scholar
  20. [20]
    P. Kok, H. Lee and J. P. Dowling, Phys. Rev. A 66, 063814 (2002).ADSCrossRefGoogle Scholar

Copyright information

© The Korean Physical Society 2013

Authors and Affiliations

  1. 1.Faculty of ScienceNingbo UniversityNingboChina

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