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arXiv · 0906.2375

Simulated Quantum Computation of Global Minima

Jing Zhu·Zhen Huang·Sabre Kais
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Abstract

Finding the optimal solution to a complex optimization problem is of great importance in practically all fields of science, technology, technical design and econometrics. We demonstrate that a modified Grover's quantum algorithm can be applied to real problems of finding a global minimum using modest numbers of quantum bits. Calculations of the global minimum of simple test functions and Lennard-Jones clusters have been carried out on a quantum computer simulator using a modified Grover's algorithm. The number of function evaluations $N$ reduced from O(N) in classical simulation to $O(\sqrt{N})$ in quantum simulation. We also show how the Grover's quantum algorithm can be combined with the classical Pivot method for global optimization to treat larger systems.

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Jing Zhu, Zhen Huang, Sabre Kais. 2009-06-12. Simulated Quantum Computation of Global Minima. https://doi.org/10.1080/00268970903117126

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