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arXiv quant-ph/0408160quant-ph
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量子控制的控制论方法

Control Theoretical Approach to Quantum Control

M. Yanagisawa

摘要:

在没有测量理论而只有控制理论的情况下,我们导出了玻色子系统的量子随机主方程。结果表明,测量的量子效应可以表示为动力学噪声与测量噪声之间的关联。传递函数表示允许我们分析一个动态的不确定性关系,它对线性量子系统的动力学施加了强约束。特别地,保持最小不确定性的量子系统是唯一确定的。对于大自旋系统,证明了局域动力学等价于玻色子系统。考虑到整体行为,我们发现了没有经典对应物的量子效应。将产生最大纠缠的控制问题作为滤波过程的镇定问题来讨论。

英文摘要:

We derive the quantum stochastic master equation for bosonic systems without measurement theory but control theory. It is shown that the quantum effect of the measurement can be represented as the correlation between dynamical and measurement noise. The transfer function representation allows us to analyze a dynamical uncertainty relation which imposes strong constraints on the dynamics of the linear quantum systems. In particular, quantum systems preserving the minimum uncertainty are uniquely determined. For large spin systems, it is shown that local dynamics are equivalent to bosonic systems. Considering global behavior, we find quantum effects to which there is no classical counterparts. A control problem of producing maximal entanglement is discussed as the stabilization of a filtering process.

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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