通过量子学习控制实现线性高斯量子系统的最优控制

IF 2.6 2区 物理与天体物理 Q2 OPTICS
Yu-Hong Liu, Yexiong Zeng, Qing-Shou Tan, Daoyi Dong, Franco Nori, Jie‐Qiao Liao
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引用次数: 0

摘要

高效控制线性高斯量子(LGQ)系统是量子基础理论研究和现代量子技术发展的一项重要任务。在此,我们提出了一种基于梯度下降算法的通用量子学习控制方法,用于优化控制线性高斯量子系统。我们的方法利用完全描述 LGQ 系统量子态的一阶和二阶矩,灵活地设计了适用于不同任务的损失函数。我们利用这种方法演示了深度光机械冷却和大光机械纠缠。我们的方法能在短时间内实现机械谐振器的快速和深度基态冷却,超越了连续波驱动强耦合机制中边带冷却的限制。此外,即使热声子占用率达到 100,光机械纠缠也能快速产生,并超过相应稳态纠缠的数倍。这项工作不仅拓宽了量子学习控制的应用范围,还为 LGQ 系统的优化控制开辟了一条途径。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Optimal control of linear Gaussian quantum systems via quantum learning control
Efficiently controlling linear Gaussian quantum (LGQ) systems is a significant task in both the study of fundamental quantum theory and the development of modern quantum technology. Here, we propose a general quantum-learning-control method for optimally controlling LGQ systems based on the gradient-descent algorithm. Our approach flexibly designs the loss function for diverse tasks by utilizing first- and second-order moments that completely describe the quantum state of LGQ systems. We demonstrate both deep optomechanical cooling and large optomechanical entanglement using this approach. Our approach enables the fast and deep ground-state cooling of a mechanical resonator within a short time, surpassing the limitations of sideband cooling in the continuous-wave driven strong-coupling regime. Furthermore, optomechanical entanglement could be generated remarkably fast and surpass several times the corresponding steady-state entanglement, even when the thermal phonon occupation reaches one hundred. This work will not only broaden the application of quantum learning control, but also open an avenue for optimal control of LGQ systems.
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来源期刊
Physical Review a
Physical Review a OPTICSPHYSICS, ATOMIC, MOLECULAR & CHEMICA-PHYSICS, ATOMIC, MOLECULAR & CHEMICAL
CiteScore
5.30
自引率
24.10%
发文量
2086
期刊介绍: Physical Review A (PRA) publishes important developments in the rapidly evolving areas of atomic, molecular, and optical (AMO) physics, quantum information, and related fundamental concepts. PRA covers atomic, molecular, and optical physics, foundations of quantum mechanics, and quantum information, including: -Fundamental concepts -Quantum information -Atomic and molecular structure and dynamics; high-precision measurement -Atomic and molecular collisions and interactions -Atomic and molecular processes in external fields, including interactions with strong fields and short pulses -Matter waves and collective properties of cold atoms and molecules -Quantum optics, physics of lasers, nonlinear optics, and classical optics
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