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Quantum Computing

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Abstract

One of the newest paradigms for a computing machine is the idea of a quantum computer: a computer that functions according to the laws of quantum mechanics that apply to the fundamental particles and forces of the world. Traditional computers are described by classical physics, which holds at ordinary human scales. Quantum effects are masked for such macroscopic systems. Indeed, so completely are these quantum effects hidden that their existence was not even suspected until the beginning of the twentieth century. And even at present, quantum mechanical behavior has only been produced reliably in very microscopic systems: single particles, atoms, and molecules.

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Notes

  1. 1.

    The probability interpretation of QM was first suggested by Max Born. It was in a footnote to this pioneering paper, added in proof, that he realized that probabilities were not equal to amplitudes, but to their squares

Reference

  • D. Aharonov and M. Ben-Or, in Proc. 29th Ann. ACM Symp. on Theory of Computing, 176 (ACM, New York, 1998).

    Google Scholar 

  • P. Benioff, Journal of Statistical Physics 29, 515–546 (1982).

    Article  MATH  MathSciNet  Google Scholar 

  • C.H. Bennett and G. Brassard, in Proc. IEEE International Conference on Computers Systems and Signal Processing, Bangalore India, December 1984, 175–179 (IEEE, 1984).

    Google Scholar 

  • E.K. Blum and S.V. Lototsky, “Mathematics of physics and engineering,” section 6.4 (World Scientific, Singapore, 2006).

    Google Scholar 

  • J. I. Cirac and P. Zoller, Phys. Rev. Lett. 74, 4091–4094 (1995).

    Article  Google Scholar 

  • D. Deutsch, Proc. Roy. Soc. London, Ser. A 400, 97 (1985).

    Article  MATH  MathSciNet  Google Scholar 

  • D. Deutsch, Proc. Roy. Soc. London, Ser. A 425, 73 (1989).

    Article  MATH  MathSciNet  Google Scholar 

  • D.P. DiVincenzo, Fortschr. Phys. 48, 771–783 (2000).

    Article  MATH  Google Scholar 

  • R. P. Feynman, Int. J. Theor. Phys. 21, 467 (1982).

    Article  MathSciNet  Google Scholar 

  • D. Gottesman, Phys. Rev. A 57, 127 (1998).

    Article  Google Scholar 

  • L.K. Grover, in Proc. 28th Annual ACM Symposium on the Theory of Computing (STOC 96), 212 (ACM, New York, 1996).

    Google Scholar 

  • D. Kielpinski, C. Monroe, and D.J. Wineland, Nature 417, 709–711 (2002).

    Article  Google Scholar 

  • T.D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe and J.L. O’Brien, Nature 464, 45 (2010).

    Article  Google Scholar 

  • A. Lupascu, S. Saito, T. Picot, P. C. de Groot, C. J. P. M. Harmans, and J. E. Mooij, Nat. Phys. 3, 119–125 (2007).

    Article  Google Scholar 

  • Y. Manin, Sovetskoye Radio (Moscow, 1980).

    Google Scholar 

  • J.M. Martinis, S. Nam, J. Aumentado, and C. Urbina, Phys. Rev. Lett. 89, 117901 (2002).

    Article  Google Scholar 

  • Nielsen and Chuang, “Quantum Information and Quantum Computation” (Cambridge University Press, Cambridge, 2000).

    Google Scholar 

  • A. O. Niskanen, K. Harrabi, F. Yoshihara, Y. Nakamura, S. Lloyd, and J. S. Tsai, Science 316, 723–726 (2007).

    Article  Google Scholar 

  • J. Preskill, Proc. Roy. Soc. Lond. A454, 385–410 (1998).

    Article  MATH  MathSciNet  Google Scholar 

  • J. Preskill, Physics Today, (June 1999).

    Google Scholar 

  • P.W. Shor, in Proc. 35th Annual Symposium on the Theory of Computer Science, edited by S. Goldwasser, 124 (IEEE Computer Society Press, Los Alamitos, CA, 1994).

    Google Scholar 

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Correspondence to Todd A. Brun .

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Brun, T.A. (2011). Quantum Computing. In: Blum, E., Aho, A. (eds) Computer Science. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1168-0_14

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  • DOI: https://doi.org/10.1007/978-1-4614-1168-0_14

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