dorsal/arxiv
View SchemaTime-optimal Control of Spin Systems
| Authors | Jan Swoboda |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601131 |
| URL | https://arxiv.org/abs/quant-ph/0601131 |
Abstract
The paper discusses various aspects of time-optimal control of quantum spin systems, modelled as right-invariant systems on a compact Lie group G. The main results are the reduction of such a system to an equivalent system on a homogeneous space G/H, and the explicit determination of optimal trajectories on G/H in the case where G/H is a Riemannian symmetric space. These results are mainly obtained by using methods from Lie theory and geometric control.
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"abstract": "The paper discusses various aspects of time-optimal control of quantum spin\nsystems, modelled as right-invariant systems on a compact Lie group G. The main\nresults are the reduction of such a system to an equivalent system on a\nhomogeneous space G/H, and the explicit determination of optimal trajectories\non G/H in the case where G/H is a Riemannian symmetric space. These results are\nmainly obtained by using methods from Lie theory and geometric control.",
"arxiv_id": "quant-ph/0601131",
"authors": [
"Jan Swoboda"
],
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"title": "Time-optimal Control of Spin Systems",
"url": "https://arxiv.org/abs/quant-ph/0601131"
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