Efficient low temperature Monte Carlo sampling using quantum annealing

Spin glass

The key feature of the quantum annealer is that it finds preferentially configurations which are close to the global energy minimum of the phase space. As a first illustration how to determine the low temperature thermodynamics from these configurations, we use a spin glass37,38 with random couplings, which is given by the Hamiltonian

$$\begin{aligned} H = \sum _{i<j} J_{ij} s_i s_j + \sum _i h_i s_i \end{aligned}$$

(1)

with \(N=20\) spins \(s_i=\pm 1\) and random values for the coupling constants, \(J_{ij}, h_i\in…

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