Authors Referees APS Members |
January 2008, to be published in Physical Review A
Classification of nonproduct states with maximum stabilizer dimension
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 $n\geq 3, n\neq 4$. 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.
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