Quantum control by decompositions of SU(2)

Phys. Rev. A 62, 053409 – Published 13 October 2000
Viswanath Ramakrishna, Kathryn L. Flores, Herschel Rabitz, and Raimund J. Ober

Abstract

Constructive procedures that make no use of optimization or iterative calculations for the control of many quantum and classical systems, via controls that are required to satisfy constraints on their power or pulse area, are presented. These procedures are based on structured decompositions of SU(2). A general technique for obtaining such structured decompositions is given. Illustrative examples are provided.

DOI: http://dx.doi.org/10.1103/PhysRevA.62.053409

  • Received 3 January 2000
  • Published 13 October 2000

© 2000 The American Physical Society

Authors & Affiliations

Viswanath Ramakrishna* and Kathryn L. Flores

  • Department of Mathematical Sciences and Center for Signals, Systems and Communications, University of Texas at Dallas, P.O. Box 830688, Richardson, Texas 75083

Herschel Rabitz

  • Department of Chemistry, Frick Laboratories, Princeton University, Princeton, New Jersey 08544

Raimund J. Ober

  • Department of Electrical Engineering and Center for Signals, Systems and Communications, University of Texas at Dallas, P.O. Box 830688, Richardson, Texas 75083

  • *Corresponding author. Email address: vish@utdallas.edu and kflores@utdallas.edu
  • Email address: hrabitz@chemvax.princeton.edu
  • Email address: ober@utdallas.edu

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