Symmetric states: local unitary equivalence via stabilizers
Quantum Physics
2011-03-03 v2 Mathematical Physics
math.MP
Abstract
We classify local unitary equivalence classes of symmetric states via a classification of their local unitary stabilizer subgroups. For states whose local unitary stabilizer groups have a positive number of continuous degrees of freedom, the classification is exhaustive. We show that local unitary stabilizer groups with no continuous degrees of freedom are isomorphic to finite subgroups of the rotation group SO(3), and give examples of states with discrete stabilizers.
Keywords
Cite
@article{arxiv.1007.3920,
title = {Symmetric states: local unitary equivalence via stabilizers},
author = {Curt D. Cenci and David W. Lyons and Laura M. Snyder and Scott N. Walck},
journal= {arXiv preprint arXiv:1007.3920},
year = {2011}
}
Comments
13 pages, 6 figures, version 2 has added references, minor corrections