Quantum annealing of the random-field Ising model by transverse ferromagnetic interactions

Sei Suzuki, Hidetoshi Nishimori, Masuo Suzuki

研究成果: Article査読

29 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号051112
ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
75
5
DOI
出版ステータスPublished - 2007 5 16

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 統計学および確率
  • 凝縮系物理学

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