CUED Publications database

Time-optimal control of a 3-level quantum system and its generalization to an n-level system

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

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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: ℤ 2 × S 3 discrete symmetry and S 1 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
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:15
Last Modified: 10 Aug 2017 01:36
DOI: