Global controllability with a single local actuator

Details Global controllability with a single local actuator Global controllability with a single local actuator

2008-01-04

arxiv.org/abs/0801.0721v2

Phys. Rev. A 78, 062339 (2008)

Physics

Quantum Physics

7 pages, 1 table, no figures

Scientific paper

10.1103/PhysRevA.78.062339

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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