Variational Adiabatic Gauge Transformation on real quantum hardware for effective low-energy Hamiltonians and accurate diagonalization

Autor:	Gentini, Laura, Cuccoli, Alessandro, Banchi, Leonardo
Rok vydání:	2021
Předmět:	Quantum Physics
Druh dokumentu:	Working Paper
Popis:	Effective low-energy theories represent powerful theoretical tools to reduce the complexity in modeling interacting quantum many-particle systems. However, common theoretical methods rely on perturbation theory, which limits their applicability to weak interactions. Here we introduce the Variational Adiabatic Gauge Transformation (VAGT), a non-perturbative hybrid quantum algorithm that can use nowadays quantum computers to learn the variational parameters of the unitary circuit that brings the Hamiltonian to either its block-diagonal or full-diagonal form. If a Hamiltonian can be diagonalized via a shallow quantum circuit, then VAGT can learn the optimal parameters using a polynomial number of runs. The accuracy of VAGT is tested trough numerical simulations, as well as simulations on Rigetti and IonQ quantum computers. Comment: 13 pages, 7 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2111.08771 Zobrazit plný text záznamu View this record from Arxiv