Journal
MOLECULAR PHYSICS
Volume 109, Issue 5, Pages 761-772Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00268976.2011.552444
Keywords
optimization; quantum circuits; evolutionary algorithms; Lennard-Jones clusters
Funding
- Army Research Office (ARO)
- NSF Center for Quantum Information and Computation for Chemistry [CHE-1037992]
- Division Of Chemistry
- Direct For Mathematical & Physical Scien [1037992] Funding Source: National Science Foundation
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We present a new global optimization algorithm in which the influence of the leaders in social groups is used as an inspiration for the evolutionary technique which is designed into a group architecture. To demonstrate the efficiency of the method, a standard suite of single and multi-dimensional optimization functions along with the energies and the geometric structures of Lennard-Jones clusters are given as well as the application of the algorithm on quantum circuit design problems. We show that as an improvement over previous methods, the algorithm scales as N-2.5 for the Lennard-Jones clusters of N-particles. In addition, an efficient circuit design is shown for a two-qubit Grover search algorithm which is a quantum algorithm providing quadratic speedup over the classical counterpart.
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