English

Quantum Monte Carlo Annealing with Multi-Spin Dynamics

Quantum Physics 2017-05-24 v1 Statistical Mechanics

Abstract

We introduce a novel Simulated Quantum Annealing (SQA) algorithm which employs a multispin quantum fluctuation operator. At variance with the usual transverse field, short-range two-spin flip interactions are included in the driver Hamiltonian. A Quantum Monte Carlo algorithm, capable of efficiently simulating large disordered systems, is described and tested. A first application to SQA, on a random square lattice Ising spin glass reveals that the multi-spin driver Hamiltonian improves upon the usual transverse field. This work paves the way for more systematic investigations using multi-spin quantum fluctuations on a broader range of problems.

Keywords

Cite

@article{arxiv.1701.08775,
  title  = {Quantum Monte Carlo Annealing with Multi-Spin Dynamics},
  author = {Guglielmo Mazzola and Matthias Troyer},
  journal= {arXiv preprint arXiv:1701.08775},
  year   = {2017}
}
R2 v1 2026-06-22T18:04:30.081Z