Symmetric states: local unitary equivalence via stabilizers

Details Symmetric states: local unitary equivalence via stabilizers Symmetric states: local unitary equivalence via stabilizers

2010-07-22

arxiv.org/abs/1007.3920v2

Quantum.Inform.Compu. 10, 1029-1041 (2010)

Physics

Quantum Physics

13 pages, 6 figures, version 2 has added references, minor corrections

Scientific paper

We classify local unitary equivalence classes of symmetric states via a classification of their local unitary stabilizer subgroups. For states whose local unitary stabilizer groups have a positive number of continuous degrees of freedom, the classification is exhaustive. We show that local unitary stabilizer groups with no continuous degrees of freedom are isomorphic to finite subgroups of the rotation group SO(3), and give examples of states with discrete stabilizers.

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