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  • 标题:Discrete-Query Quantum Algorithm for NAND Trees
  • 本地全文:下载
  • 作者:Andrew M. Childs ; Richard Cleve ; Stephen P. Jordan
  • 期刊名称:Theory of Computing
  • 印刷版ISSN:1557-2862
  • 电子版ISSN:1557-2862
  • 出版年度:2009
  • 卷号:5
  • DOI:10.4086/toc.2009.v005a005
  • 出版社:University of Chicago
  • 摘要:

    This is a comment on the article
    "A Quantum Algorithm for the Hamiltonian NAND Tree"
    by Edward Farhi, Jeffrey Goldstone, and Sam Gutmann,
    Theory of Computing 4 (2008) 169-190.
    That paper gave a quantum algorithm for evaluating NAND trees with
    running time O(sqrt{N}) in the Hamiltonian query model.
    In this note, we point out that their algorithm can be converted into
    an algorithm using N^{1/2 + o(1)} queries in the conventional
    (discrete) quantum query model.

  • 关键词:quantum computation; quantum query complexity; formula evaluation; quantum walk; Hamiltonian simulation
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