Quantum Annealing with Antiferromagnetic Fluctuations for the Hopfield Model

@article{Seki2014QuantumAW,
  title={Quantum Annealing with Antiferromagnetic Fluctuations for the Hopfield Model},
  author={Yuya Seki and Hidetoshi Nishimori},
  journal={arXiv: Statistical Mechanics},
  year={2014},
  pages={121-133}
}
  • Yuya Seki, H. Nishimori
  • Published 1 May 2014
  • Materials Science, Physics, Mathematics
  • arXiv: Statistical Mechanics
We investigate quantum annealing with antiferromagnetic fluctuations for the generalized Hopfield model with $k$-body interactions. The goal is to study the effectiveness of antiferromagnetic interactions, which were shown to help us avoid problematic first-order quantum phase transitions in pure ferromagnetic systems, in random systems. We estimate the efficiency of quantum annealing by analyzing phase diagrams for two cases where the number of embedded patterns is finite or extensively large… 
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