TY  - CONF
AU  - Jin, Fengping
TI  - Finding the ground state of the 1D Hubbard Model using quantum annealing
M1  - FZJ-2026-00022
PY  - 2025
AB  - 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.
T2  - JUQCA Day 2025
CY  - , Jülich (Germany)
M2  - Jülich, Germany
LB  - PUB:(DE-HGF)31
DO  - DOI:10.34734/FZJ-2026-00022
UR  - https://juser.fz-juelich.de/record/1050204
ER  -