Dissipative "Groups" and the Bloch Ball
Quantum Physics
2007-05-23 v1
Abstract
We show that a quantum control procedure on a two-level system including dissipation gives rise to a semi-group corresponding to the Lie algebra semi-direct sum gl(3,R)+R^3. The physical evolution may be modelled by the action of this semi-group on a 3-vector as it moves inside the Bloch sphere, in the Bloch ball.
Keywords
Cite
@article{arxiv.quant-ph/0211027,
title = {Dissipative "Groups" and the Bloch Ball},
author = {Allan I. Solomon and Sonia G. Schirmer},
journal= {arXiv preprint arXiv:quant-ph/0211027},
year = {2007}
}
Comments
4 pages. Proceedings of Group 24, Paris, July, 2002