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Wavelet quantum search algorithm with partial information

Author

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  • Park, Sangwoong
  • Bae, Joonwoo
  • Kwon, Younghun

Abstract

It is questionable that Grover algorithm may be more efficient than classical one, when partial information is given in an unstructured database. In this letter, we propose to use the Haar wavelet transformation in the Grover algorithm, to consider partial information. Given a partial information L to an unstructured database of size N, we show the improved speedup, O(N/L). The speedup originates in the preparation of the initial state W†|k〉, which provides a superposition of N/L states and L determines which state has to be chosen as ∣k〉.

Suggested Citation

  • Park, Sangwoong & Bae, Joonwoo & Kwon, Younghun, 2007. "Wavelet quantum search algorithm with partial information," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1371-1374.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:4:p:1371-1374
    DOI: 10.1016/j.chaos.2005.09.054
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    Cited by:

    1. Jiang, Min & Zhang, Zeng-ke & Dong, Dao-yi & Liu, Bin & Tarn, Tzyh-Jong, 2009. "The improved quantum switching mechanism based on contention," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1936-1942.
    2. Min, Jiang & Zeng-ke, Zhang & Jia, Zeng & Bin, Liu, 2009. "Lead commutation for quantum switching," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1050-1054.

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