发表机构
Massachusetts Institute of Technology（麻省理工学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究提出基于子系综控制的鲁棒哈密顿工程协议，解决了同时设计子系综内外相互作用的计算难题，开发了抗控制缺陷的脉冲序列设计方法，为量子模拟和传感提供实用工具。
AI 中文摘要
我们提出一种鲁棒协议，用于重塑自旋系综中的相互作用，该协议基于同时施加于多个子系综的全局控制脉冲序列。这种设置自然产生于固态缺陷系综或多物种原子阵列。我们证明，找到能同时设计子系综内部及子系综间相互作用的脉冲序列在计算上是困难的。尽管存在这种形式上的困难，我们仍确定了一组必要或充分条件，在此条件下可从固有哈密顿量合成目标哈密顿量。此外，我们引入了高效的数值策略，用于设计对常见控制缺陷具有鲁棒性的目标哈密顿量的脉冲序列。作为具体应用，我们讨论了在双物种原子系综中鲁棒产生双模自旋压缩的问题，若无子系综控制，这是一项具有挑战性的任务。我们的结果为设计具有最小控制开销的新型量子模拟和传感实验提供了实用工具箱。
英文摘要
We present a robust protocol to reshape interactions in a spin ensemble based on global control pulse sequences applied to multiple subensembles in parallel. This setting arises naturally from ensembles of solid-state defects or multi-species atomic arrays. We show that it is provably computationally hard to find pulse sequences that simultaneously engineer interactions both within and between subensembles. Despite its formal hardness, we identify a set of necessary or sufficient conditions under which one can synthesize a target Hamiltonian from the native one. Moreover, we introduce efficient numerical strategies for designing pulse sequences that engineer target Hamiltonians robust against common control imperfections. As a specific application, we discuss the robust generation of two-mode spin squeezing in dual-species atomic ensembles, which is a challenging task without subensemble control. Our results provide a practical toolbox to design novel quantum simulation and sensing experiments with minimal control overhead.
Comments7+2+13 pages, 3+0+2 figures; v2: additional proof of NP-hardness, minor edits
