发表机构
Princeton University; Purdue University; University of California, Los Angeles; North Carolina State University（普林斯顿大学; 普渡大学; 加州大学洛杉矶分校; 北卡罗来纳州立大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究利用量子类比特和门电路模拟横向场伊辛模型的自旋动力学，制备波包并提取磁化强度，引入图度量指导硬件实现，展示经典资源模拟量子系统的可行性。
AI 中文摘要
近期出版物引入了量子类（QL）比特的概念，及其相关的QL态和QL门操作，这些概念源于复杂同步网络的动力学。本研究在此框架基础上，提出了自旋系统中量子动力学的模拟方法。我们聚焦于横向场伊辛模型，这是一个被广泛研究的相互作用自旋系统哈密顿量。我们展示了如何使用基于量子门的QL模拟构建的电路，来制备任意的初始波包，并模拟由此产生的状态的时间演化，以提取磁化强度等物理可观测量。除了态矢量动力学之外，我们引入了一组度量标准，用以表征QL电路操作如何变换底层图连接。这些度量量化了电路产生的微观耦合、相位相干性以及有效的块间耦合。这些图级量为潜在的物理实现提供了约束和设计目标，指明了在硬件实现中必须工程化的互连资源、相位控制和有效耦合强度。总体而言，本研究展示了如何利用经典资源来模拟量子系统，并讨论了其优势与局限性。
英文摘要
Recent publications have introduced the concept of quantum-like (QL) bits, along with their associated QL-states and QL-gate operations, emerging from the dynamics of complex synchronized networks. The present work builds on this framework to present a simulation of quantum dynamics in spin systems. We focus on the transverse field Ising model, a widely studied Hamiltonian for interacting spin systems. We show how circuits, built using the QL analog of quantum gates, can be used to prepare an arbitrary initial wavepacket and simulate the time evolution of the resulting state for extracting physical observables such as magnetization. Beyond the statevector dynamics, we introduce a set of metrics that characterize how QL-circuit operations transform the underlying graph connections. These metrics quantify the microscopic coupling, phase coherence, and effective inter-block coupling generated by the circuit. These graph-level quantities provide constraints and design targets for potential physical implementations, indicating where interconnection resources, phase control, and effective coupling strength must be engineered in a hardware realization. Overall, this study demonstrates how classical resources can be harnessed to simulate quantum systems and we discuss the advantages and limitations.
