Eur. Phys. J. Special Topics 224, 149–161 (2015)
https://doi.org/10.1140/epjst/e2015-02348-x

Review

Infinite-range transverse field Ising models and quantum computation

Graduate School of Information Science and Technology, Hokkaido University, N14-W9, Kita-ku, Sapporo 064-0814, Japan

^a e-mail: j_inoue@complex.ist.hokudai.ac.jp

Received: 17 September 2014
Revised: 16 December 2014
Published online: 5 February 2015

Abstract

We present a brief review on information processing, computing and inference via quantum fluctuation, and clarify the relationship between the probabilistic information processing and theory of quantum spin glasses through the analysis of the infinite-range model. We also argue several issues to be solved for the future direction in the research field.