Exact Ansatz of Fermion-Boson Systems for a Quantum Device
Abstract
We present an exact ansatz for the eigenstate problem of mixed fermion-boson systems that can be implemented on quantum devices. Based on a generalization of the electronic contracted Schr\"odinger equation (CSE), our approach guides a trial wave function to the ground state of any arbitrary mixed Hamiltonian by directly measuring residuals of the mixed CSE on a quantum device. Unlike density-functional and coupled-cluster theories applied to electron-phonon or electron-photon systems, the accuracy of our approach is not limited by the unknown exchange-correlation functional or the uncontrolled form of the exponential ansatz. To test the performance of the method, we study the Tavis-Cummings model, commonly used in polaritonic quantum chemistry. Our results demonstrate that the CSE is a powerful tool in the development of quantum algorithms for solving general fermion-boson many-body problems.
Keywords
Cite
@article{arxiv.2402.12273,
title = {Exact Ansatz of Fermion-Boson Systems for a Quantum Device},
author = {Samuel Warren and Yuchen Wang and Carlos L. Benavides-Riveros and David A. Mazziotti},
journal= {arXiv preprint arXiv:2402.12273},
year = {2024}
}