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arXiv · 0709.1105

Classification of nonproduct states with maximum stabilizer dimension

David W. Lyons·Scott N. Walck·Stephanie A. Blanda
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Abstract

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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David W. Lyons, Scott N. Walck, Stephanie A. Blanda. 2008-01-29. Classification of nonproduct states with maximum stabilizer dimension. https://doi.org/10.1103/physreva.77.022309

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