Table 2 The scaling exponents of the total variation distance for the data in Fig. 5.

From: Quantum annealing enhanced Markov-Chain Monte Carlo

Uupdate

\(TV(P_{\textrm{ex}},Q_{\textrm{emp}}) \sim \tau _{\textrm{MCS}}^{-\alpha }\)

\(TV(P_{\textrm{ex}},Q_{\textrm{emp}}) \sim 2^{\gamma N }\)

Uniform

\(\alpha =0.487\pm 0.007\)

\(\gamma =0.526\pm 0.017\)

Local

\(\alpha =0.311\pm 0.054\)

\(\gamma =0.494\pm 0.057\)

QA

\(\alpha =0.490\pm 0.003\)

\(\gamma =0.226\pm 0.017\)