AI 中文总结
研究如何通过自洽横向场模拟用于量子退火的催化剂，介绍了具体方法，经多阶段近似后能产生与原始催化剂相符的动力学，为近期量子退火器提供了可行替代方案。
AI 中文摘要
全连接横向相互作用被视为量子退火的催化剂，可减小指数级小的能隙并规避一阶相变，但其实验实现仍具挑战。本文介绍了一种通过自洽横向场模拟其效果的方法。除传统横向场退火外，只需具备在横向（\(\hat{\sigma}^x\)）基下测量的能力。在大系统极限下该协议产生相同动力学，并在（均匀）\(p\)-自旋模型的数值模拟中研究趋近该极限的方法。实际实现需考虑一系列近似变体并量化其误差，最后展示如何将该协议映射到仅改变单个控制参数的退火平台上。即使经过多阶段近似，该方法仍能产生与原始横向相互作用催化剂相符的动力学，证明自洽横向场是近期量子退火器的可行替代方案。
英文摘要
Fully-connected transverse interactions have been considered as catalysts for quantum annealing that could mitigate exponentially small gaps and circumvent first-order phase transitions, but their experimental implementation remains challenging. In this work, we introduce a procedure for emulating their effects via a self-consistent transverse field. All that is required beyond conventional transverse-field annealing is the ability to make measurements in the transverse ($\hatσ^x$) basis. We show that this protocol yields identical dynamics in the large-system limit, and study the approach to that limit in numerical simulations of the (uniform) $p$-spin model. However, realizing the protocol in practice requires us to consider a series of approximate variants, each of whose errors we quantify and demonstrate can be made sufficiently small. Lastly, we show how to map the protocol onto annealing platforms that vary only a single control parameter. Even after the multiple stages of approximation, our procedure can generate dynamics that agree well with the original transverse-interaction catalyst, establishing self-consistent transverse fields as a viable alternative on near-term quantum annealers.
