Abstract
We classify, up to local unitary equivalence, the set of -qubit states that is stabilized by the diagonal subgroup of the local unitary group. We exhibit a basis for this set, parametrized by diagrams of nonintersecting chords connecting pairs of points on a circle, and give a criterion for when the stabilizer is precisely the diagonal subgroup and not larger. This investigation is part of a larger program to partially classify entanglement type (local unitary equivalence class) via analysis of stabilizer structure.
- Received 25 August 2008
DOI:https://doi.org/10.1103/PhysRevA.78.042314
©2008 American Physical Society