AI 中文总结
研究受挫伊辛环中局部反绝热项作用，采用从含最低阶解析CD项的固定调度协议数字化版本到DC-QAOA等技术，结合CRAB量子控制技术优化电路参数，DC-QAOA表现最佳，凸显CD动力学变分控制重要性。
AI 中文摘要
我们研究了局部反绝热（CD）项在增强受挫伊辛环离散时间数字协议性能方面的作用，该系统具有指数级小的能隙，是传统量子退火的瓶颈。研究技术从包含最低阶解析CD项的固定调度协议数字化版本，到包括变分CD项（DC-QAOA）的成熟量子近似优化算法（QAOA）。通过分析剩余能量表明，结合用于优化电路参数的Chopped RAndom Basis（CRAB）量子控制技术的DC-QAOA可超越其他策略。通过监测动力学过程中的基态占据情况发现，DC-QAOA通过中间激发态找到通向目标态的有效捷径，这一过程因包含局部CD酉算符而意外增强。结果凸显了CD动力学灵活变分控制的重要性，并表明数字优化可探索标准解析CD构造无法触及的算符动力学。
英文摘要
We investigate the role of local counter-diabatic (CD) terms in enhancing the performance of discrete-time digital protocols for a frustrated Ising ring, a system with an exponentially small spectral gap that acts as a bottleneck for conventional quantum annealing. The techniques investigated range from a digitised version of a fixed-schedule protocol, including lowest-order analytical CD terms, all the way to a full-fledged Quantum Approximate Optimisation Algorithm (QAOA), including variational CD terms (DC-QAOA). By analyzing the resulting residual energy, we show that DC-QAOA combined with Chopped RAndom Basis (CRAB) quantum control techniques for optimizing the circuit parameters, can outperform all the other strategies. By monitoring the ground-state population during the dynamics we learn that DC-QAOA finds effective shortcuts towards the target state through intermediate excited states, a process that is unexpectedly enhanced by the inclusion of local CD unitaries. Our results highlight the importance of flexible variational control of CD dynamics and demonstrate that digital optimization can explore operator dynamics that remain inaccessible to standard analytical CD constructions.
Comments15 pages, 11 figures
