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. 2020 Jan 14;11:249. doi: 10.1038/s41467-019-14096-z

Fig. 4. Detecting and characterizing phase transitions.

Fig. 4

a Binder cumulants U4(L) for various graph sizes L on the 2D Ferromagnetic Ising model. Their intersection determines the critical temperature of the model TC (denoted by a dotted line). b Magnetization estimated from the PRIS for various L. c Scaling of the PRIS magnetization autocorrelation time for various Ising models, benchmarked versus the Metropolis-Hastings algorithm (MH). The complexity of a single time step scales like N2 = L4 for MH on a CPU and like N = L2 for the PRIS on a photonic platform. For readability, error bars in b are not shown (see Supplementary Note 4).