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An Exact Quantum Search Algorithm with Arbitrary Database

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Abstract

In standard Grover’s algorithm for quantum searching, the probability of finding a marked state is not exactly 1, and some modified versions of Grover’s algorithm that search a marked state from an evenly distributed database with full successful rate have been presented. In this article, we present a generalized quantum search algorithm that searches M marked states from an arbitrary distributed N-item quantum database with a zero theoretical failure rate, where N is not necessary to be the power of 2. We analyze the general properties of our search algorithm, we find that our algorithm has periodicity with a period of 2J + 1, and it is effective with certainty for J + (2J + 1)m times of iteration, where m is an arbitrary nonnegative number.

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Acknowledgment

This work was supported by “the Fundamental Research Funds for the Central Universities” (12QN25).

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  1. School of Nuclear Science and Engineering, North China Electric Power University, Beijing, 102206, China

    Yang Liu

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  1. Yang Liu
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Correspondence to Yang Liu.

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Liu, Y. An Exact Quantum Search Algorithm with Arbitrary Database. Int J Theor Phys 53, 2571–2578 (2014). https://doi.org/10.1007/s10773-014-2055-3

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  • DOI: https://doi.org/10.1007/s10773-014-2055-3

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