论文标题

暂停的优势:量子退火器的参数设置

Advantage of pausing: parameter setting for quantum annealers

论文作者

Izquierdo, Zoe Gonzalez, Grabbe, Shon, Idris, Husni, Wang, Zhihui, Marshall, Jeffrey, Rieffel, Eleanor

论文摘要

先前的工作表明了暂停中摩尔的功效:这种暂停在一类天然问题实例中通过数量级成功提高了成功的可能性,并改善了在一类嵌入式问题实例中解决方案的时间。基于物理学的图片为暂停Midaneal有效的位置提供了定性的建议,即退火计划参数与其他退火属性以及诸如铁磁耦合$ | J_F | $的嵌入尺寸和强度之类的参数之间的相互作用,以及在这种情况下暂停的时间可以提高解决方案的时间。在这里,通过与以前的退火器相比,连接性更高的更新退火体系结构以及在多个嵌入式问题类别上的示范,我们能够确认这张图片的各个方面。我们证明了跨平台和问题类别的最佳暂停参数的鲁棒性,探索如何设置$ | j_f | $在不同方案中优化性能,并提供经验证据,这些证据短暂停止了特朗普更长的整体退火时间,以及时进行解决方案。我们还将问题中不同系数的数量确定为问题硬度的预测指标,并探索与最佳$ | j_f | $和嵌入尺寸的相互作用。基于这些结果,我们能够为量子退火器中的参数设置提供定性指南。

Prior work showed the efficacy of pausing midanneal: such a pause improved the probability of success by orders of magnitude in a class of native problem instances and improved the time to solution in a class of embedded problem instances. A physics-based picture provides qualitative suggestions for where pausing midanneal is effective, for the interplay between annealing schedule parameters and other annealing properties and parameters such as embedding size and strength of the ferromagnetic coupling $|J_F|$, and for the conditions under which pausing can improve the time to solution. Here, through demonstrations on an updated annealing architecture that has higher connectivity than previous annealers, and on multiple embedded problem classes, we are able to confirm various aspects of this picture. We demonstrate the robustness of the optimal pause parameters across platforms and problem classes, explore how to set $|J_F|$ to optimize performance in different scenarios, and provide empirical evidence that short pauses trump longer overall annealing times in time to solution. We also identify the number of different coefficients in a problem as a predictor of problem hardness, and explore its interplay with the optimal $|J_F|$ and embedding size. Based on these results we are able to present qualitative guidelines for parameter setting in quantum annealers.

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