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arXiv · 1602.06353

Flag-based Control of Orbit Dynamics in Quantum Lindblad Systems

Patrick Rooney·Anthony M. Bloch·C. Rangan
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Abstract

In this paper, we demonstrate that the dynamics of an $n$-dimensional Lindblad control system can be separated into its inter- and intra-orbit dynamics when there is fast controllability. This can be viewed as a control system on the simplex of density operator spectra, where the flag representing the eigenspaces is viewed as a control variable. The local controllability properties of this control system can be analyzed when the control-set of flags is limited to a finite subset. In particular, there is a natural finite subset of $n!$ flags that are effective for low-purity orbits.

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Patrick Rooney, Anthony M. Bloch, C. Rangan. 2016-02-20. Flag-based Control of Orbit Dynamics in Quantum Lindblad Systems. https://arxiv.org/abs/1602.06353

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