Abstract

Image restoration is formulated by the quantum Ising spin glass model. In terms of the Bayesian statistics, two types of restoration are possible, and each restoration is closely related to grand state searching via quantum or thermal annealing and calculation of local magnetizations at finite temperature, respectively. We evaluate these performances by analysis of the Sherrington–Kirkpatrick model in a transverse field and by employing the quantum Monte Carlo method. Effects of a transverse field on the quality of restoration are discussed.

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