English

Continuous-variable optimization with neural network quantum states

Quantum Physics 2022-01-07 v3 Optimization and Control

Abstract

Inspired by proposals for continuous-variable quantum approximate optimization (CV-QAOA), we investigate the utility of continuous-variable neural network quantum states (CV-NQS) for performing continuous optimization, focusing on the ground state optimization of the classical antiferromagnetic rotor model. Numerical experiments conducted using variational Monte Carlo with CV-NQS indicate that although the non-local algorithm succeeds in finding ground states competitive with the local gradient search methods, the proposal suffers from unfavorable scaling. A number of proposed extensions are put forward which may help alleviate the scaling difficulty.

Keywords

Cite

@article{arxiv.2108.03325,
  title  = {Continuous-variable optimization with neural network quantum states},
  author = {Yabin Zhang and David Gorsich and Paramsothy Jayakumar and Shravan Veerapaneni},
  journal= {arXiv preprint arXiv:2108.03325},
  year   = {2022}
}
R2 v1 2026-06-24T04:54:15.369Z