2007/02/23 by Sei Suzuki, Hidetoshi Nishimori, Masuo Suzuki · 4 citations
Computer Science · Physics and Astronomy · #Neural Networks and Applications #Quantum Computing Algorithms and Architecture #Quantum many-body systems #cond-mat.dis-nn #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physreve.75.051112
published as Phys. Rev. E 75, 051112 (2007) · 6 pages, 9 figures
arxiv created 2007/02/23 · openalex publication_date 2007/05/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce transverse ferromagnetic interactions, in addition to a simple transverse field, to accelerate the convergence of quantum annealing of the random-field Ising model. The conventional approach using only the transverse-field term is known to be plagued by slow convergence when the true ground state has strong ferromagnetic characteristics for the random-field Ising model. The transverse ferromagnetic interactions are shown to improve the performance significantly in such cases. This conclusion is drawn from the analyses of the energy eigenvalues of instantaneous stationary states as well as by the very fast algorithm of Bethe-type mean-field annealing adopted to quantum systems. The present study highlights the importance of a flexible choice of the type of quantum fluctuations to achieve the best possible performance in quantum annealing. The existence of such flexibility is an outstanding advantage of quantum annealing over simulated annealing.