标题： 囚禁离子系统中通过几何相位的纠缠动力学 显示英文标题

标题： Entanglement dynamics via Geometric phases in Trapped-ions

摘要： 离子阱系统是量子计算的领先平台。 M{\o }林默-赛{\o }雷森（MS）门是实现多部分系统受控相互作用的常用方法。 然而，由于不可避免地与环境相互作用，量子态经历非幺正演化，导致显著偏离理想动力学。 通常采用诸如量子过程层析成像（QPT）和贝尔态层析成像（BST）之类的通用技术来评估MS门性能并表征系统中的噪声。 在这封信中，我们提出利用几何相位作为评估MS门性能和识别噪声的工具。 我们的研究结果表明，几何相位对发生在两倍时钟脉冲时间附近的环境噪声特别敏感。 鉴于几何相位测量不需要完整的状态层析成像，这种方法提供了一种实用且实验可行的方法来检测纠缠并分类影响系统的噪声性质。 显示英文摘要

摘要： Trapped-ion systems are a leading platform for quantum computing. The M{\o}lmer-S{\o}rensen (MS) gate is a widely used method for implementing controlled interactions in multipartite systems. However, due to unavoidable interactions with the environment, quantum states undergo non-unitary evolution, leading to significant deviations from ideal dynamics. Common techniques such as Quantum Process Tomography (QPT) and Bell State Tomography (BST) are typically employed to evaluate MS gate performance and to characterize noise in the system. In this letter, we propose leveraging the geometric phase as a tool for performance assessment and noise identification in the MS gate. Our findings indicate that the geometric phase is particularly sensitive to environmental noise occurring around twice the clock pulse time. Given that geometric phase measurements do not require full-state tomography, this approach offers a practical and experimentally feasible method to detect entanglement and classify the nature of noise affecting the system.