Seoane Bartolomé, BeatrizNishimori, Hidetoshi2025-01-282025-01-282012-10-09Seoane, B., Nishimori, H., 2012. Many-body transverse interactions in the quantum annealing of the p -spin ferromagnet. J. Phys. A: Math. Theor. 45, 435301. https://doi.org/10.1088/1751-8113/45/43/4353011751-811310.1088/1751-8113/45/43/435301https://hdl.handle.net/20.500.14352/116693FPUWe study the performance of quantum annealing for the simple p-body infinite-range ferromagnetic Ising model. In particular, we generalize the transverse antiferromagnetic interactions proposed by Seki and Nishimori as a quantum driver to many-body transverse interactions to understand if the two-body interactions are essential to allow the system to avoid troublesome first-order quantum phase transitions. We conclude that the general many-body interactions are effective to let the system evolve only through second-order transitions as long as a few minor conditions are satisfied. It is also discussed whether the overlap of the ground-state wavefunction of the new driver term with the target ground state is an essential factor for success.engjournal article1751-8121https://dx.doi.org/10.1088/1751-8113/45/43/435301https://iopscience.iop.org/article/10.1088/1751-8113/45/43/435301open access53SystemsOptimizationMechanicsFísica (Física)2212 Física Teórica