Classification of nonproduct states with maximum stabilizer dimension

Details Classification of nonproduct states with maximum stabilizer dimension Classification of nonproduct states with maximum stabilizer dimension

2007-09-07

arxiv.org/abs/0709.1105v3

Phys. Rev. A 77, 022309 (2008)

Physics

Quantum Physics

6 pages, version 3 has a typographical correction in the displayed equation just after numbered equation (2), and other minor

Scientific paper

10.1103/PhysRevA.77.022309

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.

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