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arXiv 2501.00293quant-ph
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近绝热二能级量子系统中基于时间依赖共振的最优控制

Optimal Control in Nearly-Adiabatic Two-Level Quantum Systems via Time-Dependent Resonance

Takayuki Suzuki

AI总结:

本文提出近绝热二能级系统中基于时间依赖共振的控制协议,证明其等价于绝热控制,并通过数值计算验证其最优性,为量子比特控制与量子信息处理提供新思路。

摘要:

在本研究中,我们从理论上分析了近绝热二能级量子系统中一种基于“时间依赖共振”的控制协议,并证明其表现出与绝热控制等价的性质。该协议基于“时间依赖共振”,其中频率对应于时间依赖的能隙。通过数值计算,我们表明该协议可作为一种最优控制协议。该方法能够实现高效且高精度地向目标态跃迁。我们的发现为量子最优控制理论提供了新的视角,并表明其在量子比特控制和量子信息处理中具有潜在应用。

英文摘要:

In this study, we theoretically analyzed a control protocol based on ``time-dependent resonance" in nearly adiabatic two-level quantum systems, demonstrating that it exhibits properties equivalent to adiabatic control. This protocol is based on ``time-dependent resonance", where the frequency corresponds to the time-dependent energy gap. Through numerical calculations, we showed that this protocol serves as an optimal control protocol. This approach enables efficient and high-precision transitions to the target state. Our findings provide a new perspective on quantum optimal control theory and suggest potential applications in qubit controls and quantum information processing.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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