论文标题
Lechner-Hauke-Zoller方案的量子退火时间表的变分优化
Variational optimization of the quantum annealing schedule for the Lechner-Hauke-Zoller scheme
论文作者
论文摘要
在Lechner-Hauke-Hauke-Zoller（LHz）方案中针对代表代表通用组合优化问题的全面相互作用的ISING模型设计的量子退火方案的参数优化了退火时间表。我们适应了Matsuura等人提出的变异方法。 （ARXIV：2003.09913）符合一个术语的退火时间表，该术语表示对LHz方案的固有变量的约束，其其他条款的退火时间表保持完好无损。简单的铁磁模型和旋转玻璃问题的数值结果表明，非单调退火计划优化了由残留能量和最终地面富裕性测量的性能。这种改进并不伴随着瞬时能量差距的显着增加，这表明在研究量子退火中实际相关的绝症过程中，除了静态分析外，动态观点的重要性。
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.
