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.

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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.

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