控制量子系综的梯度流
Gradient flow for controlling quantum ensemble
摘要：
本文提出了一个梯度型动力系统来解决有限维闭量子系综的量子观测量最大化问题。的渐近行为进行了分析：我们表明，根据控制的正则性假设的动力系统几乎总是收敛到最大化问题的解决方案，我们还详细介绍了有关的困难发生的奇异控制。
英文摘要：
We propose in this paper a gradient-type dynamical system to solve the problem of maximizing quantum observables for finite dimensional closed quantum ensembles governed by the controlled Liouville-von Neumann equation. The asymptotic behavior is analyzed: we show that under the regularity assumption on the controls the dynamical system almost always converges to a solution of the maximization problem; we also detail the difficulties related to the occurrence of singular controls.
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