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Optics Letters

Optics Letters


  • Editor: Anthony J. Campillo
  • Vol. 31, Iss. 18 — Sep. 15, 2006
  • pp: 2795–2797

Single-photon continuous-variable quantum key distribution based on the energy–time uncertainty relation

Bing Qi  »View Author Affiliations

Optics Letters, Vol. 31, Issue 18, pp. 2795-2797 (2006)

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We propose a new quantum key distribution protocol in which information is encoded on continuous variables of a single photon. In this protocol, Alice randomly encodes her information on either the central frequency of a narrowband single-photon pulse or the time delay of a broadband single-photon pulse, while Bob randomly chooses to do either frequency measurement or time measurement. The security of this protocol rests on the energy–time uncertainty relation, which prevents Eve from simultaneously determining both frequency and time information with arbitrarily high resolution. Since no interferometer is employed in this scheme, it is more robust against various channel noises, such as polarization and phase fluctuations.

© 2006 Optical Society of America

OCIS Codes
(060.2330) Fiber optics and optical communications : Fiber optics communications
(270.0270) Quantum optics : Quantum optics

ToC Category:
Quantum Optics

Original Manuscript: May 9, 2006
Revised Manuscript: June 23, 2006
Manuscript Accepted: June 26, 2006
Published: August 25, 2006

Bing Qi, "Single-photon continuous-variable quantum key distribution based on the energy-time uncertainty relation," Opt. Lett. 31, 2795-2797 (2006)

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  1. C. H. Bennett and G. Brassard, in Proceedings of IEEE International Conference on Computers, Systems, and Signal Processing (IEEE, 1984), pp. 175-179.
  2. A. K. Ekert, Phys. Rev. Lett. 67, 661 (1991). [CrossRef] [PubMed]
  3. N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002). [CrossRef]
  4. M. Hillery, Phys. Rev. A 61, 022309 (2000). [CrossRef]
  5. R. J. Hughes, J. E. Nordholt, D. Derkacs, and C. G. Peterson, New J. Phys. 4, 43 (2002). [CrossRef]
  6. C. Marand and P. D. Townsend, Opt. Lett. 20, 1695 (1995). [CrossRef] [PubMed]
  7. C. Gobby, Z. L. Yuan, and A. J. Shields, Appl. Phys. Lett. 84, 3762 (2004). [CrossRef]
  8. F. Grosshans, G. V. Assche, J. Wenger, R. Brouri, N. J. Cerf, and P. Grangier, Nature 421, 238 (2003). [CrossRef] [PubMed]
  9. J. Lodewyck, T. Debuisschert, R. Tualle-Brouri, and P. Grangier, Phys. Rev. A 72, 050303R (2005). [CrossRef]
  10. A. Muller, T. Herzog, B. Huttner, W. Tittel, H. Zbinden, and N. Gisin, Appl. Phys. Lett. 70, 793 (1997). [CrossRef]
  11. N. Gisin, S. Fasel, B. Kraus, H. Zbinden, and G. Ribordy, Phys. Rev. A 73, 022320 (2006). [CrossRef]
  12. Z. Jiang, S.-D. Yang, D. E. Leaird, and A. M. Weiner, Opt. Lett. 30, 1449 (2005). [CrossRef] [PubMed]
  13. S. N. Molotkov and S. S. Nazin, JETP Lett. 63, 924 (1996). [CrossRef]
  14. S. N. Molotkov, JETP 87, 288 (1998). [CrossRef]
  15. B.-S. Shi, Y.-K. Jiang, and G.-C. Guo, Appl. Phys. B 70, 415 (2000). [CrossRef]
  16. M. Nazarathy, Opt. Lett. 30, 1533 (2005). [CrossRef] [PubMed]
  17. T. D. Donnelly and C. Grossman, Am. J. Phys. 66, 677 (1998). [CrossRef]
  18. G. V. Assche, J. Cardinal, and N. J. Cerf, IEEE Trans. Inf. Theory 50, 394 (2004). [CrossRef]
  19. J. Zhang, W. Slysz, A. Verevkin, O. Okunev, G. Chulkova, A. Korneev, A. Lipatov, G. N. Gol'tsman, and R. Sobolewski, IEEE Trans. Appl. Supercond. 13, 180 (2003). [CrossRef]
  20. W.-Y. Hwang, Phys. Rev. Lett. 91, 057901 (2003). [CrossRef] [PubMed]
  21. H.-K. Lo, X. Ma, and K. Chen, Phys. Rev. Lett. 94, 230504 (2005). [CrossRef] [PubMed]
  22. Y. Zhao, B. Qi, X.-F. Ma, H.-K. Lo, and L. Qian, Phys. Rev. Lett. 96, 070502 (2006). [CrossRef] [PubMed]

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