The authors prove a decomposition theorem for algebraic entanglement invariants of tripartite qudit states and use it to enumerate all entanglement classes for three qutrits.
New invariants for entangled states
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abstract
We propose new algebraic invariants that distinguish and classify entangled states. Considering qubits as well as higher spin systems, we obtained complete entanglement classifications for cases that were either unsolved or only conjectured in the literature.
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Tripartite entanglement of qudits
The authors prove a decomposition theorem for algebraic entanglement invariants of tripartite qudit states and use it to enumerate all entanglement classes for three qutrits.