The annealing schedule is optimized for a parameter in the Lechner-Hauke-Zoller (LHZ) scheme for quantum annealing designed for the all-to-all-interacting Ising model representing generic combinatorial optimization problems. We adapt the variational approach proposed by Matsuura et al. (arXiv:2003.09913) to the annealing schedule of a term representing a constraint for variables intrinsic to the LHZ scheme with the annealing schedule of other terms kept intact. Numerical results for a simple ferromagnetic model and the spin-glass problem show that nonmonotonic annealing schedules optimize the performance measured by the residual energy and the final ground-state fidelity. This improvement does not accompany a notable increase in the instantaneous energy gap, which suggests the importance of a dynamical viewpoint in addition to static analyses in the study of practically relevant diabatic processes in quantum annealing.

中文翻译：

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Lechner-Hauke-Zoller方案的量子退火程序的变分优化

退火计划针对Lechner-Hauke-Zoller（LHZ）方案中的参数进行了优化，该方案用于量子退火，设计用于代表通用组合优化问题的所有相互作用的Ising模型。我们采用了Matsuura等人提出的变分方法。（arXiv：2003.09913）表示一个术语的退火时间表，该术语表示对LHZ方案固有变量的约束，而其他术语的退火时间表则保持不变。一个简单的铁磁模型和自旋玻璃问题的数值结果表明，非单调退火程序可以优化通过剩余​​能量和最终基态保真度测得的性能。这种改善并不伴随瞬时能隙的显着增加，这表明在静态退火中研究量子退火中实际相关的非绝热过程时，除了静态分析外，还必须考虑动力学观点。