TY  - CONF
AU  - Vyas, Kunal
AU  - Jin, Fengping
AU  - Michielsen, Kristel
TI  - Investigating scaling properties for quantum annealing to solve the Fermi-Hubbard model using the kinetic energy part as the driving Hamiltonian
PB  - RWTH Aachen
M1  - FZJ-2024-06526
PY  - 2024
AB  - Quantum annealing can help in finding the ground state of Hamiltonians describing many body systems. One such Hamiltonian is the Fermi-Hubbard Hamiltonian. We investigate the scaling complexity for the quantum annealing process carried out using the kinetic energy part of the Hubbard model as driving Hamiltonian for ground state calculations. The way we do this is by studying the gaps between the ground state and the 1st relevant excited state that participates in the diabatic evolution for a 1-dimensional system. The behavior of these gaps with increasing system size could hint at polynomial scaling of required annealing time for finding the ground state of the Hubbard Hamiltonian. We also try to extend this idea to a Hubbard model ladder to learn more about the scaling behavior of gaps relevant to adiabatic evolution. Further, we discuss about initial state preparation for the quantum annealing strategy under study. Information on the complexity coupled with an efficient way of preparing the initial state could bolster our hopes for using adiabatic quantum computation for solving correlated many-body Hamiltonians.
T2  - Adiabatic Quantum Computing 2024
CY  - 10 Jun 2024 - 14 Jun 2024, Glasgow (UK)
Y2  - 10 Jun 2024 - 14 Jun 2024
M2  - Glasgow, UK
LB  - PUB:(DE-HGF)6
DO  - DOI:10.34734/FZJ-2024-06526
UR  - https://juser.fz-juelich.de/record/1033654
ER  -