Journal Article

FZJ-2026-02257

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Quantum speedup for solving the one-dimensional Hubbard model using quantum annealin

Vyas, K. (Corresponding author)FZJ* ; Jin, F. (Corresponding author)FZJ* ; De Raedt, H.FZJ* ; Michielsen, K.FZJ*

2026
APS College Park, MD, USA

This record in other databases:  

Please use a persistent id in citations: doi:10.1103/bj6c-t252  doi:10.34734/FZJ-2026-02257

Abstract: The Hubbard model has occupied the minds of condensed matter physicists for most part of the last century. This model provides insight into a range of phenomena in correlated electron systems. We wish to examine the paradigm of quantum algorithms for solving such many-body problems. The focus of our current work is on the one-dimensional model that is integrable, meaning that there exist analytical results for determining its ground state. In particular, we demonstrate how to perform a gate-based quantum computer simulation of quantum annealing for the Hubbard Hamiltonian. We perform simulations for systems with up to 40 qubits to study the scaling of required annealing time for obtaining the ground state. We find that for the half-filled cases considered, there is a polynomial quantum speedup over algorithms based on the Bethe-ansatz equations.

---

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)
2. DFG project G:(GEPRIS)355031190 - FOR 2692: Fundamental Aspects of Statistical Mechanics and the Emergence of Thermodynamics in Non-Equilibrium Systems (355031190) (355031190)

Appears in the scientific report 2026

---

Database coverage:
; ; ; ; Article Processing Charges ; Clarivate Analytics Master Journal List ; DOAJ Seal ; Emerging Sources Citation Index ; Fees ; IF < 5 ; JCR ; SCOPUS ; Web of Science Core Collection

---