论文标题
通过非线性驾驶评估量子退火的性能
Assessing the performance of quantum annealing with nonlinear driving
论文作者
论文摘要
当前一代量子退火器已经被证明是成功的解决问题者。但是,量子退火仍处于起步阶段,具有次优的适用性。例如,迄今为止,它仍然是一个开放的问题,它将退火协议引起给定特征谱的最少的绝症激发,甚至是否存在普遍最佳的策略。因此,在本文中,我们报告了应用于横向场Ising链的非线性方案引起的绝热激励的分析和数值研究,该链是一种可解决的模型,它是量子退火游乐场。我们的分析重点是几种抑制或促进先前工作中讨论的动态阶段的驾驶方案。相当值得注意的是,我们发现范式的kibble-zurek行为可以在进化中被``暂停''抑制,无论是用于越过还是停止系统的量子临界点。
Current generation quantum annealers have already proven to be successful problem-solvers. Yet, quantum annealing is still very much in its infancy, with suboptimal applicability. For instance, to date it is still an open question which annealing protocol causes the fewest diabatic excitations for a given eigenspectrum, and even whether there is a universally optimal strategy. Therefore, in this paper, we report analytical and numerical studies of the diabatic excitations arising from nonlinear protocols applied to the transverse field Ising chain, the exactly solvable model that serves as a quantum annealing playground. Our analysis focuses on several driving schemes that inhibit or facilitate the dynamic phases discussed in a previous work. Rather remarkably, we find that the paradigmatic Kibble-Zurek behavior can be suppressed with ``pauses'' in the evolution, both for crossing and for stopping at the quantum critical point of the system.