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KWIAT, P. , LAMOREAUX, S. , MORGAN, G. , NORDHOLT, J. , AND PETERSON, C. G. 1999. Practical Quantum Cryptography for Secure Free-Space Communications. gov/abs/ quant-ph/9905009. HUGHES, R. , BUTTLER, W. , KWIAT, P. , LUTHER, G. , MORGAN, G. , NORDHOLT, J. , PETERSON, C. , AND SIMMONS, C. M. 1997. Secure communications using quantum cryptography. In S. P. HOTALING AND A. R. , Photonic Quantum Computing, Vol. 3076, 2–11. HUNGERFORD, T. A. 1974. Algebra. Springer Verlag, New York, Heidelberg, Berlin.

AND LENSTRA, H. EDS. 1993. The Development of the Number Field Sieve, Vol. 1554 of Lecture Notes in Mathematics. Springer Verlag. LIBOFF, R. L. 1997. ). Addison-Wesley, Reading, Mass. -K. AND CHAU, H. F. 1999. Unconditional security of quantum key distribution over arbitrarily long distances. Science 283, 2050–2056. MAYERS, D. 1998. Unconditional Security in Quantum Cryptography. lanl. gov/abs/quant-ph/9802025. NIELSEN, M. , AND LAFLAMME, R. 1998. Complete Quantum Teleportation using Nuclear Magnetic Resonance.

1997. On the power of quantum computation. Society for Industrial and Applied Mathematics Journal on Computing 26, 5, 1474– 1483. A preliminary version of this paper apAccepted September 1999 ACM Computing Surveys, Vol. 32, No. 3, September 2000. 335 peared in the Proceedings of the 35th Annual Symposium on Foundations of Computer Science. STEANE, A. 1996. The Ion Trap Quantum Information Processor. gov/abs/quant-ph/ 9608011. STEANE, A. 1998. Quantum computing. Reports on Progress in Physics 61, 2, 117–173.