Time-optimal Control of Spin Systems

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.

80 pages

References in corpus (2)

• Time Optimal Control in Spin Systems
• Sub-Riemannian Geometry and Time Optimal Control of Three Spin Systems: Quantum Gates and Coherence Transfer

Cited by in corpus (6)

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• Time optimal control in coupled spin systems: a second order analysis
• Lie Algebraic Analysis and Control of Quantum Dynamics