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arXiv · 0801.0721

Global controllability with a single local actuator

Sonia G. Schirmer·Ivan C. H. Pullen·Peter J. Pemberton-Ross
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Abstract

We show that we can achieve global density-operator controllability for most N-dimensional bilinear Hamiltonian control systems with general fixed couplings using a single, locally-acting actuator that modulates one energy-level transition. Controllability depends upon the position of the actuator and relies on the absence of either decompositions into non-interacting subgroups or symmetries restricting the dynamics to a subgroup of SU(N). These results are applied to spin-chain systems and used to explicitly construct control sequences for a single binary-valued switch actuator.

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Sonia G. Schirmer, Ivan C. H. Pullen, Peter J. Pemberton-Ross. 2008-06-06. Global controllability with a single local actuator. https://doi.org/10.1103/physreva.78.062339

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