Quantum control by decompositions of SU(2)

Viswanath Ramakrishna; Kathryn L. Flores; Herschel Rabitz; Raimund J. Ober

doi:10.1103/PhysRevA.62.053409

Quantum control by decompositions of SU(2)

Viswanath Ramakrishna, Kathryn L. Flores, Herschel Rabitz, and Raimund J. Ober

Phys. Rev. A 62, 053409 – Published 13 October 2000

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.

Received 3 January 2000

DOI:https://doi.org/10.1103/PhysRevA.62.053409

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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Vol. 62, Iss. 5 — November 2000

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