title: Transformations to diagonal bases in closed-loop quantum learning control experiments.
abstract: 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.
authors.affiliation: Department of Physics, Stony Brook University, Stony Brook, New York 11794, USA.
authors.forename: David
authors.initials: D
authors.lastname: Cardoza
authors.forename: Carlos
authors.initials: C
authors.lastname: Trallero-Herrero
authors.forename: Florian
authors.initials: F
authors.lastname: Langhojer
authors.forename: Herschel
authors.initials: H
authors.lastname: Rabitz
authors.forename: Thomas
authors.initials: T
authors.lastname: Weinacht