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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 14 — May. 10, 1998
  • pp: 2869–2878

Defense frontier analysis of quantum cryptographic systems

Boris Slutsky, Ramesh Rao, Pan-Cheng Sun, Ljubiša Tancevski, and Shaya Fainman  »View Author Affiliations


Applied Optics, Vol. 37, Issue 14, pp. 2869-2878 (1998)
http://dx.doi.org/10.1364/AO.37.002869


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Abstract

When a quantum cryptographic system operates in the presence of background noise, security of the key can be recovered by a procedure called key distillation. A key-distillation scheme effective against so-called individual (bitwise-independent) eavesdropping attacks involves sacrifice of some of the data through privacy amplification. We derive the amount of data sacrifice sufficient to defend against individual eavesdropping attacks in both BB84 and B92 protocols and show in what sense the communication becomes secure as a result. We also compare the secrecy capacity of various quantum cryptosystems, taking into account data sacrifice during key distillation, and conclude that the BB84 protocol may offer better performance characteristics than the B92.

© 1998 Optical Society of America

OCIS Codes
(060.4510) Fiber optics and optical communications : Optical communications
(270.0270) Quantum optics : Quantum optics

History
Original Manuscript: August 11, 1997
Revised Manuscript: January 5, 1998
Published: May 10, 1998

Citation
Boris Slutsky, Ramesh Rao, Pan-Cheng Sun, Ljubiša Tancevski, and Shaya Fainman, "Defense frontier analysis of quantum cryptographic systems," Appl. Opt. 37, 2869-2878 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-14-2869


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References

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  10. Inconclusive bits are those whose value is not revealed with certainty by Bob’s measurement, for example, those measured in the wrong BB84 basis by Bob.1 Inconclusive bits are an integral feature of quantum cryptographic protocols, even in the absence of channel and detector imperfections.
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  15. Strictly speaking, the total number of multiphoton bit cells is a Gaussian random variable, and only its average and variance are determined. Still, based on these parameters, it can be bounded from above with any desired confidence level.
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  21. Eve cannot use group information such as block checksums, revealed later in the protocol, because, by assumption, she must attack each bit independently of other bits.
  22. The B92 curves in Fig. 5 are qualitatively similar to those in Fig. 4 of Ref. 20, although the latter are computed based on a suboptimal family of eavesdropping strategies and with Shannon rather than Renyi entropy.
  23. Because individual bits are transmitted and received independently of one another, errors are distributed uniformly throughout raw data, regardless of the quantum cryptosystem used.

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