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We introduce a new approach to assess the error of control problems we aim tooptimize. The method offers a strategy to define new control pulses that arenot necessarily optimal but still able to yield an error not larger than somefixed a priori threshold, and therefore provide control pulses that might bemore amenable for an experimental implementation. The formalism is applied toan exactly solvable model and to the Landau-Zener model, whose optimal controlproblem is solvable only numerically. The presented method is of importance forapplications where a high degree of controllability of the dynamics of quantumsystems is required.

Errors in quantum optimal control and strategy for the search of easily implementable control pulses