单输入量子系统的可控性和直径

A. Agrachev, T. Chambrion
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引用次数: 1

摘要

利用李群形式论和黎曼技术描述了紧半简单李群上左不变单输入控制系统在T时刻的可得集。这给出了可控性特性,并估计了将具有漂移前沿的受控量子系统从给定初始位置转移到给定最终位置所需的最小时间。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Controllability and diameter of single-input quantum systems
Lie groups formalism and Riemannian techniques are used to describe the attainable set at time T of left invariant single-input control systems on compact semi-simple Lie groups. This gives controllability properties and an estimation of the minimal time needed to transfer a controlled quantum system with a drift front a given initial position to a given final position.
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