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<p>Trapped-ion systems are a leading platform for quantum computing. The Mølmer-Sørensen (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 work, we propose leveraging the geometric phase (GP) as a tool for performance assessment and noise identification in the MS gate. Our findings indicate that the GP is particularly sensitive to environmental noise occurring around twice the clock pulse time. Given that GP 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.</p>

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Entanglement Dynamics via Geometric Phases in Trapped-ions

  • 期刊论文

  • 发表日期：

    2025年10月8日

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  • Dharmaraj Ramachandran,
  • Ganesh Hanchanahal,
  • Radhika Vathsan

摘要

Trapped-ion systems are a leading platform for quantum computing. The Mølmer-Sørensen (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 work, we propose leveraging the geometric phase (GP) as a tool for performance assessment and noise identification in the MS gate. Our findings indicate that the GP is particularly sensitive to environmental noise occurring around twice the clock pulse time. Given that GP 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.