Theory of Quantum Annealing of an Ising Spin Glass

Details Theory of Quantum Annealing of an Ising Spin Glass Theory of Quantum Annealing of an Ising Spin Glass

2002-05-14

arxiv.org/abs/cond-mat/0205280v1

SCIENCE, vol 295, pp. 2427-2430 (29 March 2002) (with minor differences)

Physics

Condensed Matter

Disordered Systems and Neural Networks

RevTex, 8 pages, 3 figures

Scientific paper

10.1126/science.1068774

Probing the lowest energy configuration of a complex system by quantum annealing was recently found to be more effective than its classical, thermal counterpart. Comparing classical and quantum Monte Carlo annealing protocols on the random two-dimensional Ising model we confirm the superiority of quantum annealing relative to classical annealing. We also propose a theory of quantum annealing, based on a cascade of Landau-Zener tunneling events. For both classical and quantum annealing, the residual energy after annealing is inversely proportional to a power of the logarithm of the annealing time, but the quantum case has a larger power which makes it faster

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