Reconciliation of a Quantum-Distributed Gaussian Key

IEEE Transactions on Information Theory

Volumn 50, Issue 2, 2004, Pages 394-400

  Van Assche, Gilles ^a   Cardinal, Jean ^a   Cerf, Nicolas J ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

Cryptography; Privacy amplification; Quantum secret key distribution; Secret key agreement

Indexed keywords

COMMUNICATION CHANNELS (INFORMATION THEORY); DATA PRIVACY; GAUSSIAN NOISE (ELECTRONIC); MAXIMUM LIKELIHOOD ESTIMATION; PROBABILITY; RANDOM PROCESSES; SIGNAL TO NOISE RATIO;

PRIVACY AMPLIFICATION; QUANTUM SECRET KEY DISTRIBUTION; SECRET-KEY AGREEMENT;

QUANTUM CRYPTOGRAPHY;

EID: 1442337635     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2003.822618     Document Type: Article

References (29)

1. C. H. Bennett and G. Brassard, "Public-key distribution and coin tossing," in Proc. IEEE Int. Conf. Computers, Systems, and Signal Processing, Bangalore, India, 1984, pp. 175-179.
2. C. H. Bennett, "Quantum cryptography using any two nonorthogonal states," Phys. Rev. Lett., vol. 68, p. 3121, 1992.
3. C. H. Bennett, G. Brassard, and A. K. Ekert, "Quantum cryptography," Scientific Amer., vol. 267, pp. 50-57, Oct. 1992.
4. N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, "Quantum cryptography," Rev. Mod. Phys., vol. 74, p. 145, 2002.
5. N. J. Cerf, M. Lévy, and G. Van Assche, "Quantum distribution of Gaussian keys using squeezed states," Phys. Rev. A, vol. 63, p. 052311, May 2001.
6. F. Grosshans and P. Grangier, "Continuous variable quantum cryptography using coherent states," Phys. Rev. Lett., vol. 88, p. 057902, Feb. 2002.
7. F. Grosshans, G. Van Assche, J. Wenger, R. Brouri, N. J. Cerf, and P. Grangier, "Quantum key distribution using gaussian-modulated coherent states," Nature, vol. 421, pp. 238-241, 2003.
8. C. H. Bennett, G. Brassard, and J.-M. Robert, "Privacy amplification by public discussion," SIAM J. Comput., vol. 17, no. 2, pp. 210-229, 1988.
9. G. Brassard and L. Salvail, "Secret-key reconciliation by public discussion," in Advances in Cryptology - Eurocrypt'93 (Lecture Notes in Computer Science), T. Helleseth, Ed. Berlin, Germany: Springer-Verlag, 1993, pp. 411-423.
10. U. M. Maurer, "Secret key agreement by public discussion from common information," IEEE Trans. Inform. Theory, vol. 39, pp. 733-742, May 1993.
11. C. H. Bennett, G. Brassard, C. Crépeau, and U. M. Maurer, "Generalized privacy amplification," IEEE Trans. Inform. Theory, vol. 41, pp. 1915-1923, Nov. 1995.
12. M. O. Scully and M. S. Zubairy, Quantum Optics. Cambridge, U.K.: Cambridge Univ. Press, 1997.
13. J. L. Carter and M. N. Wegman, "Universal classes of hash functions," J. Comp. Syst. Sci., vol. 18, pp. 143-154, 1979.
14. C. Cachin, "Entropy measures and unconditional security in cryptography," Ph. D. dissertation, ETH Zürich, Zürich, Switzerland, 1997.
15. U. Maurer and S. Wolf, "Information-theoretic key agreement: From weak to strong secrecy for free," in Advances in Cryptology - Eurocrypt 2000 (Lecture Notes in Computer Science), B. Preneel, Ed. Berlin, Germany: Springer-Verlag, 2000, pp. 351-368.
16. R. M. Gray and D. L. Neuhoff, "Quantization," IEEE Trans. Inform. Theory, vol. 44, pp. 2325-2383, Oct. 1998.
17. J. Cardinal and G. Van Assche, "Construction of a shared secret key using continuous variables," in Proc. 2003 IEEE Information Theory Workshop (ITW2003), Paris, France, Mar./Apr. 2003.
18. C. E. Shannon, "Analogue of the Vernam system for continuous time series," Bell Labs. Memo, MM 43-110-44, May 1943.
19. T. M. Cover and J. A. Thomas, Elements of Information Theory. New York: Wiley, 1991.
20. D. Slepian and J. K. Wolf, "Noiseless coding of correlated information sources," IEEE Trans. Inform. Theory, vol. IT-19, pp. 471-480, July 1973.
21. S. S. Pradhan and K. Ramchandran, "Distributed source coding using syndromes (DISCUS): Design and construction," in Proc. IEEE Data Compression Conf., Mar. 1999, pp. 158-167.
22. K. Chen, "Reconciliation by public discussion: Throughput and residue error rate," unpublished manuscript, 2001.
23. T. Sugimoto and K. Yamazaki, "A study on secret key reconciliation protocol Cascade," IEICE Trans. Fundamentals, vol. E83-A, no. 10, pp. 1987-1991, Oct. 2000.
24. K. Yamazaki and T. Sugimoto, "On secret key reconciliation protocol," in Proc. IEEE Int. Symp. Information Theory and its Applications, Honolulu, HI, Mar. 2000.
25. W. T. Buttler, S. K. Lamoreaux, J. R. Torgerson, G. H. Nickel, C. H. Donahue, and C. G. Peterson, "Fast, efficient error reconciliation for quantum cryptography," Phys. Rev. A., vol. 67, p. 052303, 2003.
26. M. D. Reid, "Quantum cryptography with a predetermined key, using continuous-variable Einstein-Podolsky-Rosen correlations," Phys. Rev. A, vol. 62, p. 062308, 2000.
27. T. C. Ralph, "Continuous variable quantum cryptography," Phys. Rev. A, vol. 61, p. 010303(R), 2000.
28. M. Hillery, "Quantum cryptography with squeezed states," Phys. Rev. A, vol. 61, p. 022309, 2000.
29. C. Silberhorn, N. Korolkova, and G. Leuchs, "Quantum key distribution with bright entangled beams," Phys. Rev. Lett., vol. 88, p. 167902, 2002.