390 citations · 661 across the 16 of their papers we have counts for
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Ground-state statistics from annealing algorithms: Quantum vs classical approaches
Yoshiki Matsuda, Hidetoshi Nishimori, Helmut G Katzgraber
We study the performance of quantum annealing for systems with ground-state degeneracy by directly solving the Schrödinger equation for small systems and quantum Monte Carlo simula…
Mathematical Foundation of Quantum Annealing
Satoshi Morita, Hidetoshi Nishimori
Quantum annealing is a generic name of quantum algorithms to use quantum-mechanical fluctuations to search for the solution of optimization problem. It shares the basic idea with q…
Quantum annealing of the random-field Ising model by transverse ferromagnetic interactions
Sei Suzuki, Hidetoshi Nishimori, Masuo Suzuki
We introduce transverse ferromagnetic interactions, in addition to a simple transverse field, to quantum annealing of the random-field Ising model to accelerate convergence toward…
Convergence of Quantum Annealing with Real-Time Schrodinger Dynamics
Satoshi Morita, Hidetoshi Nishimori
Convergence conditions for quantum annealing are derived for optimization problems represented by the Ising model of a general form. Quantum fluctuations are introduced as a transv…
Convergence theorems for quantum annealing
Satoshi Morita, Hidetoshi Nishimori
We prove several theorems to give sufficient conditions for convergence of quantum annealing, which is a protocol to solve generic optimization problems by quantum dynamics. In par…