QAOA on the infinite SK model maps exactly to a spin-boson Hamiltonian whose ground-state energy can be computed with matrix-product states, yielding numerical evidence that depth O(n/ε^1.13) suffices for (1-ε) approximation in the average case.
Panchenko, The Sherrington-Kirkpatrick Model (Springer Science & Business Media, 2013)
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Spin-Boson Mapping of the Quantum Approximate Optimization Algorithm
QAOA on the infinite SK model maps exactly to a spin-boson Hamiltonian whose ground-state energy can be computed with matrix-product states, yielding numerical evidence that depth O(n/ε^1.13) suffices for (1-ε) approximation in the average case.