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

David Cardoza; Carlos Trallero-Herrero; Florian Langhojer; Herschel Rabitz; Thomas Weinacht

doi:10.1063/1.1867334

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

David Cardoza, Carlos Trallero-Herrero, Florian Langhojer, Herschel Rabitz, Thomas Weinacht

Research output: Contribution to journal › Article › peer-review

54 Scopus citations

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.

Original language	English (US)
Article number	124306
Journal	Journal of Chemical Physics
Volume	122
Issue number	12
DOIs	https://doi.org/10.1063/1.1867334
State	Published - Mar 22 2005

All Science Journal Classification (ASJC) codes

General Physics and Astronomy
Physical and Theoretical Chemistry

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10.1063/1.1867334

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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.",

author = "David Cardoza and Carlos Trallero-Herrero and Florian Langhojer and Herschel Rabitz and Thomas Weinacht",

note = "Funding Information: We gratefully acknowledge helpful discussions with Brett Pearson and Alexander Abanov. Acknowledgement is made to the donors of the American Chemical Society Petroleum Research Fund for partial support of this research. This research is also supported by the National Science Foundation under award No. 0244748. H.R. acknowledges support form an ARO-MURI grant.",

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AU - Weinacht, Thomas

N1 - Funding Information: We gratefully acknowledge helpful discussions with Brett Pearson and Alexander Abanov. Acknowledgement is made to the donors of the American Chemical Society Petroleum Research Fund for partial support of this research. This research is also supported by the National Science Foundation under award No. 0244748. H.R. acknowledges support form an ARO-MURI grant.

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

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