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 journalArticlepeer-review

54 Scopus citations


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 languageEnglish (US)
Article number124306
JournalJournal of Chemical Physics
Issue number12
StatePublished - Mar 22 2005

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy
  • Physical and Theoretical Chemistry


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