Chang, DE and Sepulchre, R (2007) *Time-optimal control of a 3-level quantum system and its generalization.* Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, 14. pp. 575-592. ISSN 1492-8760

## Abstract

We solve the problem of steering a three-level quantum system from one eigen-state to another in minimum time and study its possible extension to the time-optimal control problem for a general n-level quantum system. For the three-level system we find all optimal controls by finding two types of symmetry in the problems: ℤ × S3 discrete symmetry and 51 continuous symmetry, and exploiting them to solve the problem through discrete reduction and symplectic reduction. We then study the geometry, in the same framework, which occurs in the time-optimal control of a general n-level quantum system. Copyright ©2007 Watam Press.

Item Type: | Article |
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Uncontrolled Keywords: | Hamiltonian mechanics Quantum systems Symmetry Symplectic reduction Time-optimal control |

Subjects: | UNSPECIFIED |

Divisions: | Div F > Control |

Depositing User: | Cron Job |

Date Deposited: | 07 Mar 2014 12:05 |

Last Modified: | 08 Dec 2014 02:23 |

DOI: |