The use of a single-qubit parametrized circuit as an Ansatz for the variational wave function in the calculation of the ground state energy of a quantum many-body system is demonstrated using the one-dimensional Bose-Hubbard model. Comparison is made to calculations where a classic neural network is used to generate the variational wave function. Computations carried out on IBM Quantum hardware are also presented.
@article{arxiv.2406.09316,
title = {Bose-Hubbard model with a single qubit},
author = {R. M. Woloshyn},
journal= {arXiv preprint arXiv:2406.09316},
year = {2024}
}