发表机构
Forschungszentrum Jülich; Institute for Theoretical Physics, University of Cologne; Dipartimento di Fisica e Astronomia, Università di Bologna; Quantronics Group, Service de Physique de l’Etat Condensé (CNRS, UMR 3680), IRAMIS, CEA-Saclay, Université Paris-Saclay（于利希研究中心; 科隆大学理论物理研究所; 博洛尼亚大学物理与天文学系; 萨克雷大学量子电子学小组，凝聚态物理服务处（法国国家科学研究中心））
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出解析线性反演色散相互作用（DIAL）算法，通过失谐驱动有效二能级中介实现激发抑制的多量子比特相互作用工程，在n=2-5寄存器上实现高于0.997的门保真度，并生成GHZ态。
AI 中文摘要
长寿命量子寄存器的快速控制通常依赖于辅助自由度（中介），但真实的中介激发可能引入退相干、泄漏或损失，当中介不是相干性优化的组件时尤为如此。我们引入了通过解析线性反演实现的色散相互作用（DIAL），这是一种用于中介耦合量子寄存器中激发抑制相互作用工程的解析控制构建方法。在色散区域，我们展示了有效二能级中介跃迁的失谐驱动产生一个对角哈密顿量，其泡利-Z相互作用率通过由寄存器分辨跃迁谱确定的传递矩阵线性依赖于驱动强度。这建立了从实验可访问控制到诱导多量子比特相互作用的直接线性映射，使得无需迭代传播完整驱动动力学即可进行控制设计。我们将此结构转化为目标感知的DIAL算法，该算法选择有利的失谐音调并确定其驱动强度以实现预定的目标相互作用。我们针对每个寄存器大小n=2,3,4,5，在100个寄存器实现上对所得控制进行了基准测试，目标是最高阶相互作用Z1⋯Zn，相互作用相位大小为π/4，这生成了n量子比特GHZ态（局部等价）。在完整驱动中介-寄存器动力学下的传播产生了典型的门保真度高于0.997，而最大瞬态中介激发平均保持在接近1%，远低于共振拉比驱动通常可能的水平。该手稿附带一个开源Python包，实现了目标感知DIAL算法及相关的数值验证工作流。
英文摘要
Fast control of long-lived quantum registers often relies on an auxiliary degree of freedom, a mediator, but real mediator excitation can introduce decoherence, leakage, or loss when the mediator is not the coherence-optimized component. We introduce dispersive interaction via analytical linear inversion (DIAL), an analytical control construction for excitation-suppressed interaction engineering in mediator-coupled quantum registers. In the dispersive regime, we show that off-resonant driving of an effective two-level mediator transition yields a diagonal Hamiltonian whose Pauli-\(Z\) interaction rates depend linearly on the drive intensities through a transfer matrix determined by the register-resolved transition spectrum. This establishes a direct linear map from experimentally accessible controls to induced multi-qubit interactions, enabling control design without iterative propagation of the full driven dynamics. We turn this structure into the target-aware DIAL algorithm, which selects favorable off-resonant tones and determines their drive intensities for a prescribed target interaction. We benchmark the resulting controls across 100 register realizations for each register size \(n=2,3,4,5\), targeting the highest-order interaction \(Z_1\cdots Z_n\) with an interaction phase of magnitude \(π/4\), which generates an \(n\)-qubit GHZ state up to local equivalence. Propagation under the full driven mediator-register dynamics yields typical gate fidelities above \(0.997\), while the maximum transient mediator excitation remains near \(1\%\) on average, far below what is typically possible with resonant Rabi drives. The manuscript is accompanied by an open-source Python package implementing the target-aware DIAL algorithm and the associated numerical validation workflow.
Comments24 pages, 6 Figures
