%0 Conference Paper
%A Jin, Fengping
%T Finding the ground state of the 1D Hubbard Model using quantum annealing
%M FZJ-2026-00022
%D 2025
%X We want to illustrate how to find the ground state of the one-dimensional Hubbard model. We start by introducing the classical algorithms that can do this, like exact diagonalization, Lanczos algorithm and the Bethe-ansatz equations. Subsequently, we show how to solve the problem on a gate-based quantum computer using the quantum annealing algorithm. The procedure involves transforming the fermionic Hamiltonian using the Jordan-Wigner transformation, preparing the initial state for quantum annealing using Givens rotations, and constructing the circuit for the time evolution according to the Schrodinger equation using the second-order product-formula algorithm. We conclude by presenting some results and analysis of performance for the quantum annealing algorithm.
%B JUQCA Day 2025
%C , Jülich (Germany)
M2 Jülich, Germany
%F PUB:(DE-HGF)31
%9 Talk (non-conference)
%R 10.34734/FZJ-2026-00022
%U https://juser.fz-juelich.de/record/1050204