In certain scenarios, quantum annealing can be made more efficient by additional XX interactions. It has been shown that the additional interactions can reduce the scaling of perturbative crossings. In traditional annealing devices these couplings do not exist natively. In this work, we develop two gadgets to achieve this: a three-body gadget that requires a strong ZZZ interaction; and a one-hot gadget that uses only local X drives and two-body ZZ interactions. The gadgets partition the Hilbert space to effectively generate a limited number of XX interactions in the low-energy subspace. We numerically verify that the one-hot gadget can mitigate a perturbative crossing on a toy problem. These gadgets establish new pathways for implementing and exploiting XX interactions, enabling faster and more robust quantum annealing.
Cite
@article{arxiv.2503.16663,
title = {Gadgets for simulating a non-native $XX$ interaction in quantum annealing},
author = {Robert J. Banks and Natasha Feinstein and Roopayan Ghosh and Sougato Bose and P. A. Warburton},
journal= {arXiv preprint arXiv:2503.16663},
year = {2025}
}