Abstract
If the improvement of computation continues at anything like the pace that it has set over the last fifty years, within a few decades we will have devices of atomic dimensions. Quantum computing, in which bits, in their atomic embodiment, can exist and be manipulated in a coherent superposition of computational states, is one possible method for fundamentally improving computing once the atomic scale is reached. I illustrated some of the design principles of quantum gate constructions, using the two-bit adder as a simple example. Some details of the Shor prime factoring algorithm are discussed.
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References
Barenco, A., Bennett, C. H., DiVincenzo, D. P., Margolus, N., Shor, P., Sleator, T., Smolin, J. A., and Weinfurter, H. (1995): Phys. Rev. A 52, 3457
Chuang, I. L., Gershenfeld, N., Kubinec, M. G., and Leung, D. W. (1998): Bulk quantum computation with nuclear magnetic resonance: theory and experiment. Proc. R. Soc. Lond. 454, 257
DiVincenzo, D. P. (1995): Quantum Computation. Science 270, 255
DiVincenzo, D. P. (1997): Mesoscopic Electron Transport (Vol. 345 of NATO Advanced Study Institute, Series E: Applied Sciences, eds. L. Sohn, L. Kouenhoven and G. Schoen, Kluwer, Dordrect), p. 657; http://xxx.lanl.gov/condmat/9612126
DiVincenzo, D. P. (1998): Quantum gates and circuits. Proc. R. Soc. Lond. 454, 261
DiVincenzo, D. P., and Loss, D. (1998): Quantum information is physical. Superlattices and Microstructures 23 419 Proc. R. Soc. Lond. 454, 261
DiVincenzo, D. P., and Shor, P. W. (1996): Phys. Rev. Lett. 77, 3260
DiVincenzo, D. P., and Terhal, B. M. (1998): Decoherence, the obstacle to quantum computation, Physics World 11, (3), 53
Ekert, A. and Jozsa, R. (1996): Rev. Mod. Phys. 68, 733
Keyes, R. W. (1988): IBM J. Res. Dev. 32, 24
Loss, D. and DiVincenzo, D. P. (1998) Phys. Rev. A 57, 120
Preskill, J. (1998): Proc. R. Soc. Lond. 454, 385, and http://xxx.lanl.gov/quant-ph
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© 1999 Springer-Verlag
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DiVincenzo, D.P. (1999). Thoughts on quantum computation. In: Benisty, H., Weisbuch, C., Polytechnique, É., Gérard, JM., Houdré, R., Rarity, J. (eds) Confined Photon Systems. Lecture Notes in Physics, vol 531. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104393
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DOI: https://doi.org/10.1007/BFb0104393
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