Time-optimal Control of Spin Systems

Details Time-optimal Control of Spin Systems Time-optimal Control of Spin Systems

2006-01-19

arxiv.org/abs/quant-ph/0601131v1

Physics

Quantum Physics

80 pages

Scientific paper

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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