## 抄録

We introduce antiferromagnetic quantum fluctuations into quantum annealing in addition to the conventional transverse-field term. We apply this method to the infinite-range ferromagnetic p-spin model, for which the conventional quantum annealing has been shown to have difficulties in finding the ground state efficiently due to a first-order transition. We study the phase diagram of this system both analytically and numerically. Using the static approximation, we find that there exists a quantum path to reach the final ground state from the trivial initial state that avoids first-order transitions for intermediate values of p. We also study numerically the energy gap between the ground state and the first excited state and find evidence for intermediate values of p for which the time complexity scales polynomially with the system size at a second-order transition point along the quantum path that avoids first-order transitions. These results suggest that quantum annealing would be able to solve this problem with intermediate values of p efficiently, in contrast to the case with only simple transverse-field fluctuations.

本文言語 | English |
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論文番号 | 051112 |

ジャーナル | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

巻 | 85 |

号 | 5 |

DOI | |

出版ステータス | Published - 2012 5 10 |

## 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