Exploring thermal equilibria of the Fermi-Hubbard model with variational quantum algorithms
arxiv(2023)
摘要
This study investigates the thermal properties of the repulsive Fermi-Hubbard
model with chemical potential using variational quantum algorithms, crucial in
comprehending particle behaviour within lattices at high temperatures in
condensed matter systems. Conventional computational methods encounter
challenges, especially in managing chemical potential, prompting exploration
into Hamiltonian approaches. Despite the promise of quantum algorithms, their
efficacy is hampered by coherence limitations when simulating extended
imaginary time evolution sequences. To overcome such constraints, this research
focuses on optimising variational quantum algorithms to probe the thermal
properties of the Fermi-Hubbard model. Physics-inspired circuit designs are
tailored to alleviate coherence constraints, facilitating a more comprehensive
exploration of materials at elevated temperatures. Our study demonstrates the
potential of variational algorithms in simulating the thermal properties of the
Fermi-Hubbard model while acknowledging limitations stemming from error sources
in quantum devices and encountering barren plateaus.
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