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Title: Asymptotic scaling of coherent quantum annealing in 3D spin glasses
Plain: A quantum annealer slowly removes a sideways field so that the spins settle into a low-energy arrangement, and the leftover energy falls as a power of the anneal time. Whether that power keeps the value predicted from the critical point, and what happens at long anneal times, is not known.
Precise: 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.
Settled by: 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 $\nu$.
Kind: well-posed
Answer type: value
References: (empty)
Literature status: partially-resolved
Status note: King et al. (Nature 2023) observed Kibble-Zurek scaling of coherent annealing in 3D spin glasses on about 5000 qubits over a limited window of short anneal times; the long-time regime is untested.
Posed since: (empty)