Description This dataset provides ground states and energies for three-dimensional Ising spin glass instances with system sizesN=263,678,958,1312,2084,5627. All configurations were obtained using a cyclic quantum annealing protocol implemented on the D-Wave quantum annealer, followed by a digital cooling method. The dataset is associated with the results reported in: H. Zhang & A. Kamenev, "Computational complexity of three-dimensional Ising spin glass: Lessons from D-Wave annealer", Phys. Rev. Research 7, 033098 (2025).https://journals.aps.org/prresearch/abstract/10.1103/3bkn-v5rd Applications Benchmarking quantum and classical optimization algorithms on large-scale optimization problems Studying 3D Ising spin glasses Providing reference ground states for testing quantum annealing and hybrid quantum-classical methods Data Structure For each system size N: SpinGlassData/N_{N}_realization_{r}/ ├── J.npz # Coupling matrix J (dictionary format) └── solution.npz # Contains: # - "solution": ground state spin configuration # - "energy": ground state energy A consolidated file all_data.npz is also provided for fast loading. Loading Data Method 1: Load individual instances import numpy as np number_of_nodes_list = [263, 678, 958, 1312, 2084, 5627] realization_number = 1 solution_list, energy_list = [], [] for N in number_of_nodes_list: directory = f'SpinGlassData/N_{N}_realization_{realization_number}/' J = np.load(directory + "J.npz", allow_pickle=True)["J"].item() sol = np.load(directory + "solution.npz", allow_pickle=True)["solution"].item() E = np.load(directory + "solution.npz", allow_pickle=True)["energy"].item() solution_list.append(sol) energy_list.append(E) Method 2: Load all-in-one file import numpy as np data = np.load("SpinGlassData/all_data.npz", allow_pickle=True) J_list = data["J_list"] ground_energy_list = np.array(data["ground_energy_list"]) ground_state_list = data["ground_state_list"] N_list = np.array(data["N_list"]) Citation If you use this dataset, please cite the related publication: H. Zhang & A. Kamenev, "Computational complexity of three-dimensional Ising spin glass: Lessons from D-Wave annealer", Phys. Rev. Research 7, 033098 (2025).https://journals.aps.org/prresearch/abstract/10.1103/3bkn-v5rd BibTex @article{zhangComputationalComplexityThreedimensional2025, title = {Computational Complexity of Three-Dimensional Ising Spin Glass: Lessons from D-wave Annealer}, author = {Zhang, Hao and Kamenev, Alex}, year = {2025}, month = jul, journal = {Physical Review Research}, volume = {7}, number = {3}, pages = {033098}, publisher = {American Physical Society}, doi = {10.1103/3bkn-v5rd}, url = {https://link.aps.org/doi/10.1103/3bkn-v5rd} }