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

Beatriz Seoane, Hidetoshi Nishimori

Research output: Contribution to journalArticle

35 Citations (Scopus)

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

Original languageEnglish
Article number435301
JournalJournal of Physics A: Mathematical and Theoretical
Volume45
Issue number43
DOIs
Publication statusPublished - 2012 Nov 2
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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