Symmetry reductions in QAOA for MaxCut can collapse DLA dimensions from exponential to quadratic depending on the fixed variable, with graph embeddings ensuring expressivity and improved trainability.
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The conjecture that breaking all non-trivial graph automorphisms suffices for universality in globally controlled qubit systems is disproved by connected graphs with trivial automorphism groups whose generated Lie algebras are nonetheless non-universal.
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Reductions of QAOA Induced by Classical Symmetries: Theoretical Insights and Practical Implications
Symmetry reductions in QAOA for MaxCut can collapse DLA dimensions from exponential to quadratic depending on the fixed variable, with graph embeddings ensuring expressivity and improved trainability.
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Obstructions to universality in globally controlled qubit graphs
The conjecture that breaking all non-trivial graph automorphisms suffices for universality in globally controlled qubit systems is disproved by connected graphs with trivial automorphism groups whose generated Lie algebras are nonetheless non-universal.