Abstract
Classical and quantum information are very different. Together they can perform feats that neither could achieve alone. These include quantum computing, quantum cryptography and quantum teleportation. This paper surveys some of the most striking new applications of quantum mechanics to computer science. Some of these applications are still theoretical but others have been implemented.
This essay was written while the author was on sabbatical leave at the University of Wollongong, Australia; Research supported in part by nserc and fcar.
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References
Barenco, A., D. Deutsch, A. Ekert and R. Jozsa, “Conditional quantum dynamics and logic gates”, Physical Review Letters, Vol. 74, 1995, pp. 4083–4086.
Benioff, P., “Quantum mechanical Hamiltonian models of Turing machines”, Journal of Statistical Physics, Vol. 29, no. 3, 1982, pp. 515–546.
Bennett, C.H., “Logical reversibility of computation”, IBM Journal of Research and Development, Vol. 17, 1973, pp. 525–532.
Bennett, C.H., F. Bessette, G. Brassard, L. Salvail and J. Smolin, “Experimental quantum cryptography”, Journal of Cryptology, Vol. 5, no. 1, 1992, pp. 3–28.
Bennett, C.H., G. Brassard, C. Crépeau, R. Jozsa, A. Peres and W. K. Wootters, “Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels”, Physical Review Letters, Vol.70, no. 13, 29 March 1993, pp. 1895–1899.
Bennett, C.H., G. Brassard, C. Crépeau and M.-H. Skubiszewska, “Practical quantum oblivious transfer”, in Advances in Cryptology — CRYPTO '91 Proceedings, J. Feigenbaum (editor), Lecture Notes in Computer Science, Vol. 576, Springer-Verlag, Berlin, 1992, pp. 351–366.
Bennett, C.H., G. Brassard and A. Ekert, “Quantum cryptography”, Scientific American, October 1992, pp. 50–57. Reprinted in The Computer in the 21st Century, Scientific American, Inc., 1995, pp. 164–171.
Bennett, C.H., G. Brassard, B.Schumacher, J. Smolin and W. K. Wootters, “Purification of noisy entanglement, and faithful teleportation via noisy channels”, manuscript, 1995.
Bernstein, E. and U. Vazirani, “Quantum complexity theory”, Proceedings of the 25th Annual ACM Symposium on Theory of Computing, 1993, pp. 11–20.
Berthiaume, A. and G. Brassard, “Oracle quantum computing”, Journal of Modern Optics, Vol. 41, no. 12, 1994, pp. 2521–2535.
Berthiaume, A., D. Deutsch and R. Jozsa, “The stabilisation of quantum computations”, Proceedings of the Third Workshop on Physics and Computation — PhysComp '94, Dallas, November 1994, IEEE Computer Society Press, 1994, pp. 60–62.
Brassard, G., “Cryptology column — Quantum cryptography: A bibliography”, Sigact News, Vol. 24, no. 3, 1993, pp. 16–20.
Brassard, G., “Time for another paradigm shift”, Computing Surveys, Vol. 27, no. 1, 1995, pp. 19–21.
Brassard, G., C. Crépeau, R. Jozsa and D. Langlois, “A quantum bit commitment scheme provably unbreakable by both parties”, Proceedings of the 34th Annual IEEE Symposium on Foundations of Computer Science, 1993, pp. 362–371.
Coppersmith, D., “An approximate Fourier transform useful in quantum factoring”, IBM T. J. Watson Research Report RC 19642, Yorktown Heights, NY 10598, USA, 12 July 1994.
Deutsch, D., “Quantum theory, the Church-Turing principle and the universal quantum computer”, Proceedings of the Royal Society, London, Vol. A400, 1985, pp. 97–117.
Deutsch, D. and R. Jozsa, “Rapid solution of problems by quantum computation”, Proceedings of the Royal Society, London, Vol. A439, 1992, pp. 553–558.
DiVincenzo, D. P., “Two-bit gates are universal for quantum computation”, Physical Review A, Vol. 51, 1995, pp. 1015–1022.
Domokos, P., J.-M. Raimond, M. Brune and S. Haroche, “A simple cavity-QED two-bit universal quantum logic gate: principle and expected performances”, Physical Review A, to appear.
Einstein, A., B. Podolsky and N. Rosen, “Can quantum-mechanical description of physical reality be considered complete?”, Physical Review, Vol. 47, 1935, pp. 777–780.
Ekert, A., “Quantum cryptography based on Bell's theorem”, Physical Review Letters, Vol. 67, no. 6, 5 August 1991, pp. 661–663.
Ekert, A. and R. Jozsa, “Shor's quantum algorithm for factorising numbers”, Review of Modern Physics, to appear.
Feynman, R. P., “Simulating physics with computers”, International Journal of Theoretical Physics, Vol. 21, nos. 6/7, 1982, pp. 467–488.
Feynman, R. P., “Quantum mechanical computers”, Optics News, February 1985. Reprinted in Foundations of Physics, Vol. 16, no. 6, 1986, pp. 507–531.
Gisin, N., personal communication, 18 May 1995.
Hartmanis, J., “Response to the essays ‘On computational complexity and the nature of computer science'”, Computing Surveys, Vol. 27, no. 1, 1995, pp. 59–61.
Landauer, R., “Is quantum mechanically coherent computation useful?”, in Proceedings of the Drexel-4 Symposium on Quantum Nonintegrability—Quantum Classical Correspondence, D. H. Feng and B.-L. Hu (editors), International Press, 1995.
Lloyd, S., “A potentially realizable quantum computer”, Science, Vol. 261, 17 September 1993, pp. 1569–1571.
Marand, C. and P. D. Townsend, “Quantum key distribution over distances as long as 30 km”, Optics Letters, Vol. 20, 15 August 1995.
Peres, A., “Reversible logic and quantum computers”, Physical Review A, Vol. 32, 1985, pp. 3266–3276.
Peres, A. and W. K. Wootters, “Optimal detection of quantum information”, Physical Review Letters, Vol. 66, no. 9, 4 March 1991, pp. 1119–1122.
Shor, P. W., “Algorithms for quantum computation: Discrete logarithms and factoring”, Proceedings of the 35th Annual IEEE Symposium on Foundations of Computer Science, 1994, pp. 124–134.
cSimon, D., “On the power of quantum computation”, Proceedings of the 35th Annual IEEE Symposium on Foundations of Computer Science, 1994, pp. 116–123.
Unruh, W. G., “Maintaining coherence in quantum computers”, Physical Review A, Vol. 51, February 1995, pp. 992–997.
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Brassard, G. (1995). A quantum jump in computer science. In: van Leeuwen, J. (eds) Computer Science Today. Lecture Notes in Computer Science, vol 1000. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0015233
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DOI: https://doi.org/10.1007/BFb0015233
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