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On the Role of Prior Probability in Adiabatic Quantum Algorithms

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Abstract

In this paper, we study the role of prior probability on the efficiency of quantum local adiabatic search algorithm. The following aspects for prior probability are found here: firstly, only the probabilities of marked states affect the running time of the adiabatic evolution; secondly, the prior probability can be used for improving the efficiency of the adiabatic algorithm; thirdly, like the usual quantum adiabatic evolution, the running time for the case of multiple solution states where the number of marked elements are smaller enough than the size of the set assigned that contains them can be significantly bigger than that of the case where the assigned set only contains all the marked states.

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Acknowledgements

We gratefully acknowledge the support of the National Natural Science Foundation of China under Grant Nos 61402188 and 61173050. The first author also gratefully acknowledges the support from the China Postdoctoral Science Foundation under Grant No. 2014M552041. In addition the authors also thank the anonymous referee for the helpful comments of the paper.

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Authors and Affiliations

  1. School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan, 430074, China

    Jie Sun, Songfeng Lu & Liping Yang

  2. College of Educational Information and Technology, Hubei Normal University, Huangshi, 435002, China

    Jie Sun

  3. Department of Computer Science, Huazhong Agricultural University, Wuhan, 430074, China

    Liping Yang

Authors
  1. Jie Sun
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  2. Songfeng Lu
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  3. Liping Yang
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Correspondence to Songfeng Lu.

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Sun, J., Lu, S. & Yang, L. On the Role of Prior Probability in Adiabatic Quantum Algorithms. Int J Theor Phys 55, 1370–1377 (2016). https://doi.org/10.1007/s10773-015-2778-9

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  • DOI: https://doi.org/10.1007/s10773-015-2778-9

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