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An N/4 fixed-point duality quantum search algorithm

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Abstract

Here a fixed-point duality quantum search algorithm is proposed. This algorithm uses iteratively non-unitary operations and measurements to search an unsorted database. Once the marked item is found, the algorithm stops automatically. This algorithm uses a constant non-unitary operator, and requires N/4 steps on average (N is the number of data from the database) to locate the marked state. The implementation of this algorithm in a usual quantum computer is also demonstrated.

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Authors and Affiliations

  1. Key Laboratory for Atomic and Molecular NanoSciences and Department of Physics, Tsinghua University, Beijing, 100084, China

    Liang Hao & GuiLu Long

  2. School of Sciences, Dalian Nationalities University, Dalian, 116600, China

    Dan Liu

  3. Tsinghua National Laboratory for Information Science and Technology, Beijing, 100084, China

    GuiLu Long

Authors
  1. Liang Hao
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  2. Dan Liu
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  3. GuiLu Long
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Correspondence to GuiLu Long.

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Contributed by LONG GuiLu

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Hao, L., Liu, D. & Long, G. An N/4 fixed-point duality quantum search algorithm. Sci. China Phys. Mech. Astron. 53, 1765–1768 (2010). https://doi.org/10.1007/s11433-010-4079-x

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  • DOI: https://doi.org/10.1007/s11433-010-4079-x

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