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arXiv · 1207.2909

Many-body transverse interactions in the quantum annealing of the p-spin ferromagnet

Beatriz Seoane·Hidetoshi Nishimori
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Abstract

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 wave function of the new driver term with the target ground state is an essential factor for the success.

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Beatriz Seoane, Hidetoshi Nishimori. 2012-07-12. Many-body transverse interactions in the quantum annealing of the p-spin ferromagnet. https://doi.org/10.1088/1751-8113/45/43/435301

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