Estimates of ground-state energies for the quantum SK and 2D-EA models, using deGennes–Suzuki–Kubo mean-field annealing dynamics

We perform large-scale quantum annealing of the Sherrington–Kirkpatrick (SK) spin glass up to a system size N = 40,000 to estimate its ground-state energy using the deGennes–Suzuki–Kubo mean-field quantum Ising dynamics, extending the earlier results (reported in Eur. Phys. J. B 98, 226 (2025)). Here, we numerically solve the deGennes–Suzuki–Kubo annealing dynamics to obtain the spin configurations and subsequently the ground-state energy for a given system size at the end of the annealing, starting from a quantum paramagnetic state. The method shows high efficiency, with an overall algorithmic cost of O ( N 3 ) in estimating the energy of the ground state. We later extend this quantum annealing study to estimate the ground-state energies (starting again from the quantum paramagnetic phase, annealing down to any desired low value of the transverse field) for the Edwards–Anderson (EA) spin glass model on a square lattice.