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Polynomial Time Quantum Algorithm for Search Problem and Its Application

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Quantum Interaction (QI 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8369))

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Abstract

The well known quantum algorithm for search problem is Grover’s one. However, its computational complexity is not a polynomial in the input. In this study, we propose a polynomial time quantum algorithm for it based on quantum binary search and an amplification process. This process can be written as a quantum Turing machine form, a so called generalized quantum Turing machine (GQTM). We introduce the definition of GQTM and its language classes.

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Author information

Authors and Affiliations

  1. Tokyo University of Science, 2641 Yamazaki, Noda City, Chiba, Japan

    Satoshi Iriyama & Masanori Ohya

Authors
  1. Satoshi Iriyama
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  2. Masanori Ohya
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Corresponding author

Correspondence to Satoshi Iriyama .

Editor information

Editors and Affiliations

  1. ETH Zurich, Zurich, Switzerland

    Harald Atmanspacher

  2. School of Management, University of Leicester, Leicester, United Kingdom

    Emmanuel Haven

  3. Queensland University of Technology, Brisbane, Queensland, Australia

    Kirsty Kitto

  4. Department of Physics and Astronomy Centre for Interdisciplinary Science, University of Leicester, Leicester, United Kingdom

    Derek Raine

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Iriyama, S., Ohya, M. (2014). Polynomial Time Quantum Algorithm for Search Problem and Its Application. In: Atmanspacher, H., Haven, E., Kitto, K., Raine, D. (eds) Quantum Interaction. QI 2013. Lecture Notes in Computer Science(), vol 8369. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54943-4_15

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  • DOI: https://doi.org/10.1007/978-3-642-54943-4_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-54942-7

  • Online ISBN: 978-3-642-54943-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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