Uniform finite generation of compact Lie groups

Systems and Control Letters

Volumn 47, Issue 1, 2002, Pages 87-90

  D'Alessandro, Domenico ^a  

^a IOWA STATE UNIVERSITY   (United States)

Author keywords

Lie groups; Uniform generation; Universal quantum logic gates

Indexed keywords

ALGEBRA; ALGORITHMS; BANG BANG CONTROL SYSTEMS; LOGIC GATES; QUANTUM THEORY;

LIE ALGEBRA; QUANTUM COMPUTING;

CONTROLLABILITY;

EID: 0037119850     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(02)00178-0     Document Type: Article

References (17)

1. On the uniform finite generation of SO(n, ℝ)
2. Constructive controllability of one and two spin 1/2 particles
3. Control systems on Lie groups
4. Time optimal control of spin systems
5. Uniform finite generation of three-dimensional linear Lie groups
6. Uniform finite generation of Lie groups locally isomorphic to SL(2, ℝ)
7. Uniform finite generation of complex Lie groups of dimension two and three
8. Almost any quantum logic gate is universal
9. Uniform finite generation of the rotation group
10. Quantum control by decompositions of SU(2)
11. Proceedings of the 40th Conference on Decision and Control
12. Uniform controllable sets of left-invariant vector fields on compact Lie groups
13. Bounds on the order of generation of SO(n, ℝ) by one-parameter subgroups
14. Controllability of nonlinear systems
15. On the universality of almost every quantum logic gate