Fig. 3: Experimental application of VQE + BOIS running on IBMQ devices.
From: Variational quantum algorithm with information sharing
Final energy estimates E* (top) and final errors (E* − Eexact) (bottom) are plotted for three different problems. Repeated runs (blue curves), executed on a set of different devices28, show the distribution around the mean (orange curves). a H2 dimer showing eighteen separate VQE+BOIS (all-to-all) runs. Each ran for ten iterations with thirty (shared—see “Practicals aspects of Bayesian optimisation” in the “Methods” section) initial points. b LiH dimer showing thirteen separate VQE+BOIS (all-to-all) runs. Each ran for thirty iterations with thirty (shared) initial points. c Quantum spin model, Eq. (1) with hX = hZ = h, (considered in “Testing the effectiveness of information sharing”) showing ten separate VQE + BOIS (nearest-neighbour) runs. Each ran for fifty iterations with ten (shared) initial points. Error bars indicate standard error on final energy measurements.
