34 citations · 63 across the 3 of their papers we have counts for
3 papers
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…
quant-ph2013★ 23 cited
Energy gap at first-order quantum phase transitions: An anomalous case
Junichi Tsuda, Yuuki Yamanaka, Hidetoshi Nishimori
We show that the rate of closing of the energy gap between the ground state and the first excited state, as a function of system size, behaves in many qualitatively different ways…