Towards a Complete Classification of Multipartite Entanglement
summary
Provides a concrete program: classify SLOCC entanglement by computing SL-invariant polynomials and using their ratios to decide physical orbits, not just asymptotic statements. Key tool is a fix-degree K method that turns the exponential search into fixed-degree representation problems, solved with Schur–Weyl duality and permutation characters. Delivers specific counts (e.g., unique degree-6 invariant for five qubits), constructs known maximally entangled 5‑ and 6‑qubit states, and connects critical states to each qubit being maximally mixed on its complement.
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