Physics – Quantum Physics
Scientific paper
2005-02-25
PhysRevA.72.040301,2005.
Physics
Quantum Physics
4 pages
Scientific paper
10.1103/PhysRevA.72.040301
In this article, we give a complete characterization of all the unitary transformations that can be synthesized in a given time for a system of coupled spin-1/2 in presence of general time varying coupling tensor. Our treatment is quite general and our results help to characterize the reachable set at all times for a class of bilinear control systems with time varying drift and unbounded control amplitude. These results are of fundamental interest in geometric control theory and have applications to control of coupled spins in solid state NMR spectroscopy.
Khaneja Navin
Yuan Haidong
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