• DocumentCode
    1451542
  • Title

    Quantum factoring, discrete logarithms, and the hidden subgroup problem

  • Author

    Jozsa, Richard

  • Author_Institution
    Dept. of Comput. Sci., Bristol Univ., UK
  • Volume
    3
  • Issue
    2
  • fYear
    2001
  • Firstpage
    34
  • Lastpage
    43
  • Abstract
    Among the most remarkable successes of quantum computation are Shor´s efficient quantum algorithms for the computational tasks of integer factorization and the evaluation of discrete logarithms. This article reviews the essential ingredients of these algorithms and draws out the unifying generalization of the so-called hidden subgroup problem
  • Keywords
    algorithm theory; quantum computing; discrete logarithms; efficient quantum algorithms; hidden subgroup problem; integer factorization; quantum computation; quantum factoring; Computer displays; Discrete Fourier transforms; Equations; Error probability; Fourier transforms; Modular construction; Polynomials; Quantum computing; Registers; Zinc;
  • fLanguage
    English
  • Journal_Title
    Computing in Science & Engineering
  • Publisher
    ieee
  • ISSN
    1521-9615
  • Type

    jour

  • DOI
    10.1109/5992.909000
  • Filename
    909000