Asymptotic scaling of coherent quantum annealing in 3D spin glasses

For the 3D Edwards-Anderson model (cubic lattice, $\pm J$ or Gaussian couplings) under coherent unitary annealing of $\Gamma(t)$ from $\Gamma >> \Gamma_c$ to 0 in time $t_a$, determine the exponent $\kappa$ of the residual energy per spin $\epsilon(t_a) \sim t_a^{-\kappa}$, whether it equals the Kibble-Zurek value fixed by $z$ and $\nu$ of the 3D quantum critical point, and the anneal time beyond which avoided crossings inside the glass phase change it. An answer gives $\kappa$ with error bars in each regime.

Exact unitary or tensor-network simulations and coherent hardware anneals over at least two decades of $t_a$ on lattices of increasing $L$, compared with independently computed $z$ and $\nu$.