Talk (non-conference) (Other)

FZJ-2026-00022

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Finding the ground state of the 1D Hubbard Model using quantum annealing

Jin, F. (Corresponding author)FZJ*

2025

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Please use a persistent id in citations: doi:10.34734/FZJ-2026-00022

Abstract: 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.

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)

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Database coverage:

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