Poster (After Call)

FZJ-2023-04907

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Investigating various possibilities to solve the Fermi-Hubbard model using the kinetic energy part for quantum annealing

Vyas, K.FZJ* ; Jin, F.FZJ* ; Michielsen, K.FZJ*

2023

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Please use a persistent id in citations: doi:10.34734/FZJ-2023-04907

Abstract: 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 possibility of utilizing quantum phase estimation after the quantum annealing process carried out using the kinetic energy part of the Hubbard model as driving Hamiltonian for ground state calculations. We also try to exploit some symmetries in order to reduce size of the Hilbert space and study minimum gap for the same. We further outline our plan to study quantum annealing for a system described by the Hubbard Hamiltonian and coupled to a bath to investigate the effect of the environmental temperature and disorder on the ideal quantum annealing process for finding the ground state.

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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)
2. DFG project 397300368 - Dekohärenz und Relaxation in Quantenspinclustern (397300368) (397300368)

Appears in the scientific report 2023

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Database coverage:

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