期刊
PHYSICAL REVIEW A
卷 78, 期 6, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.78.062339
关键词
actuators; bilinear systems; controllability; group theory; multidimensional systems; nonlinear control systems; spin systems; symmetry
资金
- EPSRC Advanced Research program [RG44815]
- EPSRC QIP Interdisciplinary Research Collaboration (IRC)
- Hitachi
- European Union Knowledge Transfer Programme [MTDK-CT2004-509223]
- EPSRC [EP/D07195X/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/D07195X/1] Funding Source: researchfish
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 noninteracting 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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