# A Quick Glance at Quantum Cryptography by Samuel J. Lomonaco, Jr.

By Samuel J. Lomonaco, Jr.

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93, October, 1994, pp 15 - 21. [29] Brassard, Gilles, Cryptology column – Quantum cryptography: A bibliography, SIGACT News, October 1993. pp 16 - 20. [30] Brassard, Gilles, Claude Cr´epeau, Richard Jozsa, and Denis Langlois, A quantum bit commitment scheme provably unbreakable by both parties, 34-th Annual Symposium om Foundations of Computer Science (1993), pp 362 - 371. , A. Muller, and N. Gisin, Quantum cryptography with polarized photons in optical fibers: Experiment and practical limits, Journal of Modern Optics, Vol.

4, April, 1995, pp 2738-2747. , Communication theory of secrecy systems, Bell Systems Technical Journal, 28 (1949), pp 656- 715. , Algorithms for quantum computation, preprint, pp 1 -14. , Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Compute, SIAM J. Computing 26 (1997) pp 1484 - . ) An extended abstract of this paper appeared in the Proceedings of the 35th Annual Symposium on Foundations of Computer Science, Santa Fe, NM, Nov. , Scheme for reducing decoherence in quantum computer memory, Phys.

13 Appendix B. Proof that an undetectable eavesdropper can obtain no information from the B92 protocol In this appendix we prove that an undetectable eavesdropper for the B92 protocol obtains no information whatsoever. The proof is taken from [12]. Let |a and |b denote the two non-orthogonal states used in the B92 protocol7 . Thus, a|b =0 Let U be the unitary transformation performed by Eve’s detection probe, which we assume is initially in state |Ψ . Since Eve’s probe is undetectable, we have |Ψ |a → U |Ψ |a = |Ψ |a |Ψ |b → U |Ψ |b = |Ψ |b where |Ψ and |Ψ denote the states of Eve’s prober after the detection of |a and |b respectively.