Abstract
A quantum circuit is constructed for optimal eavesdropping on quantum key distribution proto- cols using phase-time coding, and its physical implementation based on linear and nonlinear fiber-optic components is proposed.
Similar content being viewed by others
References
R. L. Rivest, A. Shamir, and L. Adleman, Commun. ACM 21, 120 (1978).
C. H. Bennett and G. Brassard, in Proceedings of the IEEE International Conference on Computer Systems and Signal Processing, Bangalore, India, December 10–12, 1984 (The IEEE Computer Society of America, New York, 1984), p. 175.
C. H. Bennett, Phys. Rev. Lett. 68, 3121 (1992); C. H. Bennett, “Interferometric Quantum Key Distribution System,” US Patent No. 5, 307, 410 (April 26, 1994).
W. K. Wooters and W. H. Zurek, Nature (London) 299,802 (1982).
R. Renner, arXiv:quant-ph/0512258.
A. V. Korol’kov, K. G. Katamadze, S. P. Kulik, and S. N. Molotkov, Zh. Éksp. Teor. Fiz. 137(4), 637 (2010) [JETP 110 (4) (2010) (in press)].
N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, arXiv:quant-ph/0101098; Rev. Mod. Phys. 74, 145 (2002).
S. N. Molotkov and A. V. Timofeev, Pis’ma Zh. Éksp. Teor. Fiz. 85(10), 632 (2007) [JETP Lett. 85 (10), 524 (2007)].
A. S. Kholevo, Modern Mathematical Physics: Introduction to the Quantum Theory of Information (MTsNMO, Moscow, 2002), issue 5 [in Russian]; Usp. Mat. Nauk 53, 193 (1998).
S. P. Kulik, S. N. Molotkov, and A. P. Makkaveev, Pis’ma Zh. Éksp. Teor. Fiz. 85(6), 354 (2007) [JETP Lett. 85 (6), 297 (2007)].
S. N. Molotkov, Zh. Éksp. Teor. Fiz. 133(1), 5 (2008) [JETP 106 (1), 1 (2008)].
D. A. Kronberg and S. N. Molotkov, Zh. Éksp. Teor. Fiz. 136(4), 650 (2009) [JETP 109 (4), 557 (2009)].
V. Scarani, H. Bechmann-Pasquinucci, N. J. Cerf, M. Dusek, N. Lutkenhaus, and M. Peev, arXiv:quant- ph/0802.4155.
W. Mauerer, W. Helwig, and C. Silberhorn, arXiv:quant-ph/0712.0517.
T. Kim, I. S. genannt Wersborg, F. N. C. Wong, and J. H. Shapiro, arXiv:quant-ph/0611235.
M. Nielsen and I. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2001; Mir, Moscow, 2006).
R. J. Hughes, G. L. Morgan, and C. G. Peterson, arXiv:quant-ph/9904038.
R. J. Hughes, D. M. Alde, P. Dyer, G. G. Luther, G. L. Morgan, and M. Schauer, Contemp. Phys. 36, 149 (1995).
R. J. Hughes, G. G. Luther, G. L. Morgan, C. G. Peterson, and C. M. Simmons, in Proceedings of the 16th Annual International Cryptology Conference, “Advances in Cryptology” (Crypto’96), Santa Barbara, California, United States, 1996 (Springer, Berlin, 1996), p. 329.
P. D. Townsend, J. G. Rarity, and P. R. Tapster, Electron. Lett. 29, 634 (1993).
A. Muller, H. Zbinden, and N. Gisin, Europhys. Lett. 33, 335 (1996).
C. Marand and P. D. Townsend, Opt. Lett. 20, 1695 (1995).
P. D. Townsend, Nature (London) 385, 47 (1997).
P. D. Townsend, Electron. Lett. 30, 809 (1994).
J. D. Franson and H. Ilves, Appl. Opt. 33, 2949 (1994).
A. Muller, H. Zbinden, and N. Gisin, Nature (London) 378, 449 (1995).
H. Zbinden, J. D. Gautier, N. Gisin, B. Huttner, A. Muller, and W. Tittel, Electron. Lett. 33, 586 (1997).
A. Muller, T. Herzog, B. Huttner, W. Tittel, H. Zbinden, and N. Gisin, Appl. Phys. Lett. 70, 793 (1997).
D. Stucki, N. Gisin, O. Guinnard, G. Ribordy, and H. Zhbinden, New J. Phys. 4, 41.1 (2002).
D. S. Bethune and W. P. Risk, in International Quantum Electronics Conference (IQEC’98), Digest of Postdeadline Papers, the Moscone Center, San Francisco, California, United States, May 3–8, 1998 (The Optical Society of America, Washington, DC, United States, 1998), Vol. QPD12-2.
D. S. Bethune and W. P. Risk, IEEE J. Quantum. Electron. 36, 340 (2000).
D. S. Bethune, M. Navarro, and W. P. Risk, arXiv:quant-ph/0104089.
C. Elliott, D. Pearson, and G. Troxel, arXiv:quant-ph//0307049.
C. Elliott, A. Colvin, D. Pearson, O. Pikalo, J. Schlafer, and H. Yeh, arXiv:quant-ph/0503058; C. Elliot, New J. Phys. 4, 46.1 (2002).
Y. Nambu, T. Hatanaka, H. Yamazaki, and K. Nakamura, arXiv:quant-ph/0404015.
T. Kimura, Y. Nambu, T. Hatanaka, A. Tomita, H. Kosaka, and K. Nakamura, arXiv:quant-ph//0603041.
Y. Nambu, K. Yoshino, and A. Tomita, arXiv:quant-ph/0403104.
A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47, 777 (1935).
S. Rebi, D. Vitali, C. Ottaviani, P. Tombesi, M. Artoni, F. Cataliotti, and R. Corbal, Phys. Rev. A: At., Mol., Opt. Phys. 70, 032317 (2004).
S. Glancy, J. M. LoSecco, and C. E. Tanner, arXiv:quant-ph/0009110.
Hiroshi Ajiki, Wang Yao, and Lu J. Sham, Superlattices Microstruct. 34, 213 (2003).
C. Ottaviani, S. Rebi, D. Vitali, and P. Tombesi, Pre-print No. QMJ5 (2006).
Amitabh Joshi and Min Xiao, Phys. Rev. A: At., Mol., Opt. Phys. 72, 062319 (2005).
P. M. Leung, T. C. Ralph, W. J. Munro, and Kae Nemoto, arXiv:quant-ph/0810.2828.
Amitabh Joshi and Min Xiao, Preprint No. JWB100 (2005).
T. B. Pittman, B. C. Jacobs, and J. D. Franson, Phys. Rev. A: At., Mol., Opt. Phys. 64, 062311 (2001).
T. C. Ralph, N. K. Langford, T. B. Bell, and A. G. White, Phys. Rev. A: At., Mol., Opt. Phys. 65, 062324 (2002).
H. F. Hofmann and Shigeki Takeuchi, Phys. Rev. A: At., Mol., Opt. Phys. 66, 024308 (2002).
J. L. O’Brien, G. J. Pryde, A. G. White, T. C. Ralph, and D. Branning, Nature (London) 426, 264 (2003).
S. N. Molotkov, Pis’ma Zh. Éksp. Teor. Fiz. 91(1), 51 (2010) [JETP Lett. 91 (1), 48 (2010)].
C. W. Helstrom, Quantum Detection and Estimation Theory (Academic, New York, 1976).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © D.A. Kronberg, S.N. Molotkov, 2010, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2010, Vol. 138, No. 1, pp. 33–66.
Rights and permissions
About this article
Cite this article
Kronberg, D.A., Molotkov, S.N. Quantum circuit for optimal eavesdropping in quantum key distribution using phase-time coding. J. Exp. Theor. Phys. 111, 27–56 (2010). https://doi.org/10.1134/S1063776110070046
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776110070046