论文标题

带有猪门的最小纠缠典型的热状态算法

Minimally entangled typical thermal states algorithm with Trotter gates

论文作者

Goto, Shimpei, Danshita, Ippei

论文摘要

我们提高了最小纠缠的典型热状态(METTS)算法的效率,而不会破坏Abelian对称性。通过添加尊重亚洲元素对称性的猪门门的操作,我们发现马尔可夫链蒙特卡洛采样中的连续状态之间的相关性通过数量级降低。我们通过对Bose-Hubbard模型的规范集合的模拟来衡量改进的METT算法的性能,并确认自相关的降低会导致计算时间的减少。我们表明,使用托特门的操作的协议也可以有效地模拟大规范合奏的仿真。

We improve the efficiency of the minimally entangled typical thermal states (METTS) algorithm without breaking the Abelian symmetries. By adding the operation of Trotter gates that respects the Abelian symmetries to the METTS algorithm, we find that a correlation between successive states in Markov-chain Monte Carlo sampling decreases by orders of magnitude. We measure the performance of the improved METTS algorithm through the simulations of the canonical ensemble of the Bose-Hubbard model and confirm that the reduction of the autocorrelation leads to the reduction of computation time. We show that our protocol using the operation of Trotter gates is effective also for the simulations of the grand canonical ensemble.

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