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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…
cond-mat.stat-mech2013★ 3 cited
Nonadiabatic Quantum Annealing for One-Dimensional Trasverse-Field Ising Model
Hitoshi Katsuda, Hidetoshi Nishimori
We propose a nonadiabatic approach to quantum annealing, in which we repeat quantum annealing in nonadiabatic time scales, and collect the final states of many realizations to find…