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A new hybrid classical-quantum algorithm for continuous global optimization problems

Author

Listed:
  • Pedro Lara
  • Renato Portugal
  • Carlile Lavor

Abstract

Grover’s algorithm can be employed in global optimization methods providing, in some cases, a quadratic speedup over classical algorithms. This paper describes a new method for continuous global optimization problems that uses a classical algorithm for finding a local minimum and Grover’s algorithm to escape from this local minimum. Such algorithms will be useful when quantum computers of reasonable size are available. Simulations with testbed functions and comparisons with algorithms from the literature are presented. Copyright Springer Science+Business Media New York 2014

Suggested Citation

  • Pedro Lara & Renato Portugal & Carlile Lavor, 2014. "A new hybrid classical-quantum algorithm for continuous global optimization problems," Journal of Global Optimization, Springer, vol. 60(2), pages 317-331, October.
    • Handle: RePEc:spr:jglopt:v:60:y:2014:i:2:p:317-331
    DOI: 10.1007/s10898-013-0112-8
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    References listed on IDEAS

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    1. Liu, Yipeng & Koehler, Gary J., 2010. "Using modifications to Grover's Search algorithm for quantum global optimization," European Journal of Operational Research, Elsevier, vol. 207(2), pages 620-632, December.
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    Cited by:

    1. Alok Shukla & Prakash Vedula, 2019. "Trajectory optimization using quantum computing," Journal of Global Optimization, Springer, vol. 75(1), pages 199-225, September.

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