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On the Amplitude Amplification of Quantum States Corresponding to the Solutions of the Partition Problem

Author

Listed:
  • Mauro Mezzini

    (Department of Education, Roma Tre University, 00154 Roma, Italy)

  • Jose J. Paulet

    (Instituto De Inv. EN Informática AB, University of Castilla-La Mancha, 13001 Ciudad Real, Spain)

  • Fernando Cuartero

    (Departamento de Sistemas Informáticos, University of Castilla-La Mancha, 13001 Ciudad Real, Spain)

  • Hernan I. Cruz

    (Departamento de Sistemas Informáticos, University of Castilla-La Mancha, 13001 Ciudad Real, Spain)

  • Fernando L. Pelayo

    (Departamento de Sistemas Informáticos, University of Castilla-La Mancha, 13001 Ciudad Real, Spain)

Abstract

In this paper we investigate the effects of a quantum algorithm which increases the amplitude of the states corresponding to the solutions of the partition problem by a factor of almost two. The study is limited to one iteration.

Suggested Citation

  • Mauro Mezzini & Jose J. Paulet & Fernando Cuartero & Hernan I. Cruz & Fernando L. Pelayo, 2021. "On the Amplitude Amplification of Quantum States Corresponding to the Solutions of the Partition Problem," Mathematics, MDPI, vol. 9(17), pages 1-11, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:17:p:2027-:d:620575
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    Cited by:

    1. Fernando L. Pelayo & Mauro Mezzini, 2022. "Preface to the Special Issue on “Quantum Computing Algorithms and Computational Complexity”," Mathematics, MDPI, vol. 10(21), pages 1-3, October.

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