Abstract
AbstractThis article introduces a generalization of problems in the domain of the optimal control of quantum systems viz. costs imposed on impulsive and bounded controls for quantum spin systems with drift. The dynamic programming approach from optimal control is used to analyze the former, and the discontinuous nature of the optimal cost function is used to motivate the need for an interpretation in terms of discontinuous viscosity solutions. Approximate solutions to example problems on a one qbit system are obtained using a value iteration approach in order to observe the effect of changes in the cost of impulses on the associated optimal cost function.
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