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Using modifications to Grover's Search algorithm for quantum global optimization

Yipeng Liu and Gary J. Koehler

European Journal of Operational Research, 2010, vol. 207, issue 2, 620-632

Abstract: We study the problem of finding a global optimal solution to discrete optimization problems using a heuristic based on quantum computing methods. (Knowledge of quantum computing ideas is not necessary to read this paper.) We focus on a successful quantum computing method introduced by Baritompa, Bulger, and Wood, that we refer to as the BBW algorithm, and develop two modifications. First, we modify the BBW algorithm to achieve a dramatic speedup that lets us extend the known BBW static schedule from 33 to 43 points, thereby increasing its applicability. We further modify it by converting it from a static method to a dynamic one. Experimental results show the value of this latter modification.

Keywords: Discrete; optimization; Global; optimization; Grover; iterations; Quantum; computing (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (2)

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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