Phys. Rev. A 77, 022309 (2008) [5 pages]Classification of nonproduct states with maximum stabilizer dimensionReceived 11 September 2007; published 11 February 2008 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⩾3, n≠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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.77.022309
DOI:
10.1103/PhysRevA.77.022309
PACS:
03.67.Mn
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