Figure 1
From: Cyclic quantum annealing: searching for deep low-energy states in 5000-qubit spin glass
(a) Schematic phase diagram. Presented here is a schematic representation of the phase diagram for the system under study, as defined in Eq. (1). The green line denotes the many-body localization transition, while the black dashed line indicates the first-order transition. The path of the cyclic annealing algorithm is represented by the orange triangle contrasting with the blue path, which illustrates the path taken by standard forward annealing. A trapezoid cycle for cyclic annealing is also shown here by the purple line. (b) Contour of hamming distance. Cycles with different \((b_z,b_x)\) are sampled to produce an approximate phase diagram. The average Hamming distance between the final and initial states of a single cycle is calculated and depicted as a contour plot. The contour lines in Hamming distance may indicate the boundary of the many-body localization transition. The disparate magnitudes of \(b_x\) and \(b_z\) arise from the normalization of the problem Hamiltonian.
