Geometric Optimal Control of Simple Quantum Systems

  1. Stuart A. Rice2,3 and
  2. Aaron R. Dinner2,3
  1. Dominique Sugny

Published Online: 8 NOV 2011

DOI: 10.1002/9781118135242.ch3

Advances in Chemical Physics, Volume 147

Advances in Chemical Physics, Volume 147

How to Cite

Sugny, D. (2011) Geometric Optimal Control of Simple Quantum Systems, in Advances in Chemical Physics, Volume 147 (eds S. A. Rice and A. R. Dinner), John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118135242.ch3

Editor Information

  1. 2

    Department of Chemistry, The University of Chicago, Chicago, Illinois, USA

  2. 3

    The James Franck Institute, The University of Chicago, Chicago, Illinois, USA

Author Information

  1. Laboratoire Interdisciplinaire Carnot de Bourgogne (ICB), UMR 5209 CNRS-Université de Bourgogne, Dijon, France

Publication History

  1. Published Online: 8 NOV 2011
  2. Published Print: 2 DEC 2011

ISBN Information

Print ISBN: 9781118122341

Online ISBN: 9781118135242

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Keywords:

  • quantum systems, geometric control;
  • optimal control, PMP, in quantum mechanics;
  • two-level dissipative quantum systems

Summary

This chapter contains sections titled:

  • Introduction

  • The Pontryagin Maximum Principle

  • Application to the Control of a Three-Level Quantum System

  • Application to the Time-Optimal Control of Two-Level Dissipative Quantum Systems

  • Conclusion

  • References