Physics – Quantum Physics
Scientific paper
2000-01-31
J.Phys.A 34 (2001), 643-652
Physics
Quantum Physics
LateX, 13 pages. Minor typoes corrected. Published version
Scientific paper
10.1088/0305-4470/34/3/323
We study invariants of three-qubit states under local unitary transformations, i.e. functions on the space of entanglement types, which is known to have dimension 6. We show that there is no set of six independent polynomial invariants of degree less than or equal to 6, and find such a set with maximum degree 8. We describe an intrinsic definition of a canonical state on each orbit, and discuss the (non-polynomial) invariants associated with it.
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