Gradient flow for controlling quantum ensemble

Ruixing Long; Herschel Rabitz

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arXiv · 1109.6364

Gradient flow for controlling quantum ensemble

Ruixing Long·Herschel Rabitz

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Abstract

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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Ruixing Long, Herschel Rabitz. 2011-09-30. Gradient flow for controlling quantum ensemble. https://arxiv.org/abs/1109.6364

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