Symmetry-adapted VQE is Lie-algebraically incomplete for non-Abelian groups due to Abelian-subgroup restriction causing DLA confinement to u(1)^{d_lambda} and zero-gradient plateaus from vanishing cross-component integrals.
Diagnosing barren plateaus with tools from quantum optimal control
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Lie-algebraic incompleteness of symmetry-adapted VQE for non-Abelian molecular point groups
Symmetry-adapted VQE is Lie-algebraically incomplete for non-Abelian groups due to Abelian-subgroup restriction causing DLA confinement to u(1)^{d_lambda} and zero-gradient plateaus from vanishing cross-component integrals.