A representation-theoretic trajectory diagnostic for quantum neural networks. The symmetry-organised complexity index measures how a QNN distributes expressive capacity across the multiplicity structure of a target symmetry, rather than how much of Hilbert space it visits.
symmetry representation-theory symmetry-breaking quantum-machine-learning schur-decomposition quantum-neural-networks trainability barren-plateaus expressibility equivariant-quantum-machine-learning commutant-algebra multiplicity-space
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Updated
May 30, 2026 - Jupyter Notebook