发表机构
University of Basel; King Fahd University of Petroleum and Minerals（巴塞尔大学; 法赫德国王石油与矿产大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出一种数字-模拟量子模拟协议，利用单洁净量子比特测量Kitaev链的单粒子谱，通过DQC1模型和经典后处理，仅需单自旋测量即可映射拓扑相变。
AI 中文摘要
门控量子点中的自旋量子比特为模拟凝聚态现象提供了高度可编程的平台。在这项工作中，我们提出了一种数字-模拟量子模拟协议，用于提取Kitaev链的单粒子谱。Kitaev链通过标准的Jordan-Wigner变换映射到量子比特上，并在量子点线性阵列中实现为驱动工程的N位横向场伊辛模型（TFIM）。我们表明，根据控制量子比特的状态周期性切换模拟参数，会导致该控制量子比特的动力学与单洁净量子比特（DQC1）计算模型的输出同步匹配，从而通过测量单个自旋获得TFIM的完整谱。随后，经典后处理可用于从TFIM的2^N个本征能量中分离出Kitaev链的N个单粒子能量。通过改变用于工程合成横向场的Rabi驱动强度，可以仅通过测量一个自旋来绘制Kitaev链从平凡区到拓扑区交叉的光谱特征。
英文摘要
Spin qubits in gate-defined quantum dots provide a highly programmable platform for simulating condensed-matter phenomena. In this work, we introduce a digital-analog quantum simulation protocol for extracting the single-particle spectrum of a Kitaev chain. The Kitaev chain is mapped onto qubits via the standard Jordan-Wigner transformation and implemented as a drive-engineered, $N$-site transverse-field Ising model (TFIM) in a linear array of quantum dots. We show that periodically toggling the analog-simulation parameters conditioned on the state of a control qubit causes the dynamics of this control qubit to stroboscopically match the output of the one-clean-qubit (DQC1) model of computation, thereby yielding the full spectrum of the TFIM from measurements of a single spin. Classical postprocessing can then be used to isolate the $N$ single-particle energies of the Kitaev chain from the $2^N$ eigenenergies of the TFIM. By varying the strength of the Rabi drive used to engineer the synthetic transverse field, the spectral signature of the crossover from the trivial to the topological regime of the Kitaev chain could then be mapped out with measurements of just one spin.
