Variational solutions to fermion-to-qubit mappings in two spatial dimensions
Strongly Correlated Electrons
2022-10-19 v2 Quantum Physics
Abstract
Through the introduction of auxiliary fermions, or an enlarged spin space, one can map local fermion Hamiltonians onto local spin Hamiltonians, at the expense of introducing a set of additional constraints. We present a variational Monte-Carlo framework to study fermionic systems through higher-dimensional (>1D) Jordan-Wigner transformations. We provide exact solutions to the parity and Gauss-law constraints that are encountered in bosonization procedures. We study the - model in 2D and demonstrate how both the ground state and the low-energy excitation spectra can be retrieved in combination with neural network quantum state ansatze.
Cite
@article{arxiv.2205.00733,
title = {Variational solutions to fermion-to-qubit mappings in two spatial dimensions},
author = {Jannes Nys and Giuseppe Carleo},
journal= {arXiv preprint arXiv:2205.00733},
year = {2022}
}