Level sets of quantum control landscapes

Vincent Beltrani, Jason Dominy, Tak San Ho, Herschel Rabitz

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

A controlled quantum system possesses a search landscape defined by the observable value as a functional of the control field. Within the search landscape, there exist level sets of controls giving the same observable value. This paper focuses on level sets of the transition probability P i→f. For transition probabilities 0 < Pi→f < 1, a first order diffeomorphic modulation observable response preserving homotopy (D-MORPH) algorithm is utilized to investigate level sets. At the top of the control landscape, Pi→f = 1, a second order D-MORPH algorithm is presented that can explore the perfect control level set. D-MORPH is utilized to identify level set members that exhibit certain desirable secondary characteristics, e.g., minimal pulse ftuence. Numerical simulations for finite level systems are presented to illustrate the variety of control behavior found across level set members.

Original languageEnglish (US)
Title of host publicationFinal Program and Abstract Book - 4th International Symposium on Communications, Control, and Signal Processing, ISCCSP 2010
DOIs
StatePublished - Jun 28 2010
Event4th International Symposium on Communications, Control, and Signal Processing, ISCCSP-2010 - Limassol, Cyprus
Duration: Mar 3 2010Mar 5 2010

Publication series

NameFinal Program and Abstract Book - 4th International Symposium on Communications, Control, and Signal Processing, ISCCSP 2010

Other

Other4th International Symposium on Communications, Control, and Signal Processing, ISCCSP-2010
CountryCyprus
CityLimassol
Period3/3/103/5/10

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Signal Processing
  • Electrical and Electronic Engineering

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    Beltrani, V., Dominy, J., Ho, T. S., & Rabitz, H. (2010). Level sets of quantum control landscapes. In Final Program and Abstract Book - 4th International Symposium on Communications, Control, and Signal Processing, ISCCSP 2010 [5463443] (Final Program and Abstract Book - 4th International Symposium on Communications, Control, and Signal Processing, ISCCSP 2010). https://doi.org/10.1109/ISCCSP.2010.5463443