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arXiv 2304.03366quant-phcs.SYeess.SYmath.OC
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量子反馈控制的性能边界

Performance Bounds for Quantum Feedback Control

Flemming Holtorf, Frank Schäfer, Julian Arnold, Christopher Rackauckas, Alan Edelman

AI总结:

针对量子反馈控制极限未被充分探索的问题,结合量子滤波理论与矩平方和技术构建凸优化问题层次结构,提供可计算性能边界并证明收敛性,通过腔中量子比特案例展示近最优控制器设计的实际效用。

摘要:

量子反馈控制的极限对整个量子信息科学有直接影响,但在很大程度上仍未被探索。在此,我们结合量子滤波理论和矩平方和技术,构建了凸优化问题的层次结构,为一大类量子反馈控制问题的最佳可达性能提供单调改进、可计算的边界。这些边界可作为基本限制的见证、最优性证书或性能目标。我们证明了在技术条件下边界收敛于最优控制性能,并通过为腔中受光子计数和零差检测测量的量子比特设计可证明的近最优控制器,展示了我们方法的实际效用。

英文摘要:

The limits of quantum feedback control have immediate consequences for quantum information science at large, yet remain largely unexplored. Here, we combine quantum filtering theory and moment-sum-of-squares techniques to construct a hierarchy of convex optimization problems that furnish monotonically improving, computable bounds on the best attainable performance for a broad class of quantum feedback control problems. These bounds may serve as witnesses of fundamental limitations, optimality certificates, or performance targets. We prove convergence of the bounds to the optimal control performance under technical conditions and demonstrate the practical utility of our approach by designing certifiably near-optimal controllers for a qubit in a cavity subjected to photon counting and homodyne detection measurements.

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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