Phys. Rev. A 78, 042314 (2008) [3 pages]Multiparty quantum states stabilized by the diagonal subgroup of the local unitary groupReceived 25 August 2008; published 16 October 2008 We classify, up to local unitary equivalence, the set of n-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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.78.042314
DOI:
10.1103/PhysRevA.78.042314
PACS:
03.67.Mn, 03.67.Pp
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