Chang, DE and Sepulchre, R (2007) *Time-optimal control of a 3-level quantum system and its generalization to an n-level system.* Proceedings of the American Control Conference. pp. 1958-1963. ISSN 0743-1619

## 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 problem: ℤ2 × S3 discrete symmetry and S1 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. © 2007 IEEE.

Item Type: | Article |
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Subjects: | UNSPECIFIED |

Divisions: | Div F > Control |

Depositing User: | Unnamed user with email sms67@cam.ac.uk |

Date Deposited: | 09 Dec 2016 18:00 |

Last Modified: | 27 Mar 2017 00:13 |

DOI: |