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Search an unsorted database with quantum mechanics

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Abstract

In this article, we review quantum search algorithms for unsorted database search problem. Unsorted database search is a very important problem in science and technology. In a quantum computer, a marked state can be found with very high probability using the Grover’s algorithm, or exactly with the Long algorithm. We review the Grover algorithm and related generalizations. In particular, we review the phase matching conditions in quantum search algorithm. Several issues that may cause confusion about the quantum search algorithm are also clarified.

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Authors and Affiliations

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

    Long Guilu & Liu Yang

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

    Long Guilu & Liu Yang

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  1. Long Guilu
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  2. Liu Yang
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Correspondence to Long Guilu.

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Long, G., Liu, Y. Search an unsorted database with quantum mechanics. Front. Comput. Sc. China 1, 247–271 (2007). https://doi.org/10.1007/s11704-007-0026-z

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