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Algorithms for Quantum Computers

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Handbook of Natural Computing

Abstract

This chapter surveys the field of quantum computer algorithms. It gives a taste of both the breadth and the depth of the known algorithms for quantum computers, focusing on some of the more recent results. It begins with a brief review of quantum Fourier transform-based algorithms, followed by quantum searching and some of its early generalizations. It continues with a more in-depth description of two more recent developments: algorithms developed in the quantum walk paradigm, followed by tensor network evaluation algorithms (which include approximating the Tutte polynomial).

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Author information

Authors and Affiliations

  1. Institute for Quantum Computing and Department of Combinatorics & Optimization, University of Waterloo, Waterloo, Canada

    Jamie Smith

  2. Institute for Quantum Computing and Department of Combinatorics & Optimization, University of Waterloo and St. Jerome's University and Perimeter Institute for Theoretical Physics, Waterloo, Canada

    Michele Mosca

Authors
  1. Jamie Smith
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  2. Michele Mosca
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Editor information

Editors and Affiliations

  1. LIACS, Leiden University, Leiden, The Netherlands

    Grzegorz Rozenberg

  2. Computer Science Department, University of Colorado, Boulder, USA

    Grzegorz Rozenberg

  3. LIACS, Leiden University, Leiden, The Netherlands

    Thomas Bäck

  4. LIACS, Leiden University, Leiden, The Netherlands

    Joost N. Kok

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Smith, J., Mosca, M. (2012). Algorithms for Quantum Computers. In: Rozenberg, G., Bäck, T., Kok, J.N. (eds) Handbook of Natural Computing. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92910-9_43

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