Classification of nonproduct states with maximum stabilizer dimension
Quantum Physics
2008-02-12 v3
Abstract
Nonproduct n-qubit pure states with maximum dimensional stabilizer subgroups of the group of local unitary transformations are precisely the generalized n-qubit Greenberger-Horne-Zeilinger states and their local unitary equivalents, for n greater than or equal to 3 but not equal to 4. We characterize the Lie algebra of the stabilizer subgroup for these states. For n=4, there is an additional maximal stabilizer subalgebra, not local unitary equivalent to the former. We give a canonical form for states with this stabilizer as well.
Keywords
Cite
@article{arxiv.0709.1105,
title = {Classification of nonproduct states with maximum stabilizer dimension},
author = {David W. Lyons and Scott N. Walck and Stephanie A. Blanda},
journal= {arXiv preprint arXiv:0709.1105},
year = {2008}
}
Comments
6 pages, version 3 has a typographical correction in the displayed equation just after numbered equation (2), and other minor corrections