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Theory of Quantum Annealing of an Ising Spin Glass

Giuseppe E. Santoro·Roman Martonak·Erio Tosatti·Roberto Car
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Abstract

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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Giuseppe E. Santoro, Roman Martonak, Erio Tosatti, Roberto Car. 2002-05-14. Theory of Quantum Annealing of an Ising Spin Glass. https://doi.org/10.1126/science.1068774

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