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math.OC2017★ 5 cited
Control landscapes for a class of non-linear dynamical systems: sufficient conditions for the absence of traps
Benjamin Russell, Shanon Vuglar, Herschel Rabitz
We establish three tractable, jointly sufficient conditions for the control landscapes of non-linear control systems to be trap free comparable to those now well known in quantum c…
math.OC2011★ 1 cited
Gradient flow for controlling quantum ensemble
Ruixing Long, Herschel Rabitz
We propose in this paper a gradient-type dynamical system to solve the problem of maximizing quantum observables for finite dimensional closed quantum ensembles governed by the con…