RT Journal Article T1 Many-body transverse interactions in the quantum annealing of the p-spin ferromagnet A1 Seoane Bartolomé, Beatriz A1 Nishimori, Hidetoshi AB We 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. PB IOP SN 1751-8113 YR 2012 FD 2012-10-09 LK https://hdl.handle.net/20.500.14352/116693 UL https://hdl.handle.net/20.500.14352/116693 LA eng NO Seoane, 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/10.1088/1751-8113/45/43/435301 NO FPU NO Ministerio de Educación, Cultura y Deporte (España) DS Docta Complutense RD 30 dic 2025