Transformations to diagonal bases in closed-loop quantum learning control experiments

摘要

This paper discusses transformations between bases used in closed-loop learning control experiments.The goal is to transform to a basis in which the number of control parameters is minimized and in which the parameters act independently.We demonstrate a simple procedure for testing whether a unitary linear transformation(i.e.,a rotation amongst the control variables)is sufficient to reduce the search problem to a set of globally independent variables.This concept is demonstrated with closed-loop molecular fragmentation experiments utilizing shaped,ultrafast laser pulses.