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cond-mat.stat-mech2014
Quantum Annealing with Antiferromagnetic Transverse Interactions for the Hopfield Model
Yuya Seki, Hidetoshi Nishimori
We investigate quantum annealing with antiferromagnetic transverse interactions for the generalized Hopfield model with -body interactions. The goal is to study the effectivenes…
quant-ph2014★ 34 cited
Comparative Study of the Performance of Quantum Annealing and Simulated Annealing
Hidetoshi Nishimori, Junichi Tsuda, Sergey Knysh
Relations of simulated annealing and quantum annealing are studied by a mapping from the transition matrix of classical Markovian dynamics of the Ising model to a quantum Hamiltoni…
cond-mat.stat-mech2014★ 6 cited
Mean-field theory is exact for the random-field model with long-range interactions
Junichi Tsuda, Hidetoshi Nishimori
We study the random-field Ising model with long-range interactions and show the exactness of the mean-field theory under certain mild conditions. This is a generalization of the re…