Abstract
The security of quantum cryptography based on time shifts has been mathematically proved. The procedures of preparing and measuring the most strongly localized states with a support in a finite frequency band are described. It has shown that measurements of states in the finite frequency band and a finite time window are sufficient for detecting any change in input states. The use of available multiplex fiber optic systems based on an arrayed waveguide grating for time-shift quantum cryptography is briefly discussed.
Similar content being viewed by others
References
S. Wiesner, SIGACT News 15, 78 (1983).
C. H. Bennett and G. Brassard, in Proceedings of IEEE International Conference on Computers, Systems, and Signal Processing, Bangalore, India (IEEE, New York, 1984), p. 175.
C. H. Bennett, Phys. Rev. Lett. 68, 3121 (1992).
W. K. Wootters and W. H. Zurek, Nature 299, 802 (1982).
S. N. Molotkov, Pis’ma Zh. Éksp. Teor. Fiz. 79, 691 (2004) [JETP Lett. 79, 559 (2004)].
C. Elliot, D. Pearson, and G. Troxel, quant-ph/0307049.
D. S. Bethune and W. P. Risk, New J. Phys. 4, 42.1 (2002).
D. S. Bethune, M. Navarro, and W. P. Risk, quantph/0104089.
A. S. Holevo, Probabilistic and Statistical Aspects of Quantum Theory (North-Holland, Amsterdam, 1980).
S. N. Molotkov, Pis’ma Zh. Éksp. Teor. Fiz. 74, 477 (2001) [JETP Lett. 74, 436 (2001)].
A. K. Ekert, B. Huttner, G. M. Palma, and A. Peres, Phys. Rev. A 50, 1047 (1994).
H. E. Brandt, J. M. Myer, and S. J. Lomonaco, Jr., Phys. Rev. A 56, 4456 (1997).
B. A. Slutsky, R. Rao, Pang-Chen Sun, and Y. Fainman, Phys. Rev. A 57, 2383 (1998).
K. Tamaki, M. Koashi, and N. Imoto, quant-ph/0212161.
K. Tamaki, M. Koashi, and N. Imoto, quant-ph/0212162.
K. Tamaki and N. Lutkenhaus, quant-ph/0308048.
A. Peres, Quantum Theory: Concepts and Methods (Kluwer, Dordrecht, 1993).
D. Slepian and H. O. Pollak, Bell Syst. Tech. J. 40, 40 (1961).
W. H. Fuchs, J. Math. Anal. Appl. 9, 317 (1964).
D. Slepian, J. Math. Phys. 44, 99 (1965).
Author information
Authors and Affiliations
Additional information
__________
Translated from Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 80, No. 7, 2004, pp. 576–582.
Original Russian Text Copyright © 2004 by Molotkov.