%0 Journal Article
%A Seoane Bartolomé, Beatriz
%A Nishimori, Hidetoshi
%T Many-body transverse interactions in the quantum annealing of the p-spin ferromagnet
%D 2012
%@ 1751-8113
%U https://hdl.handle.net/20.500.14352/116693
%X 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.
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