Year: 2025
Type: article
Abstract: We investigate the performance and accuracy of digital quantum algorithms for the study of static and dynamic properties of the fermionic Hubbard model at half-filling with next-nearest-neighbor hopping terms. We provide quantum circuits to perform ground and excited state calculations, via the variational quantum eigensolver (VQE) and the quantum equation of motion (qEOM) approach, respectively, as well as product formula decompositions for time evolution. We benchmark our approach on a chain with $L=6$ sites and periodic boundary conditions, computing the charge and spin gaps, the spectral function and spin-spin dynamic correlations. Our results for the ground-state phase diagram are in qualitative agreement with known results in the thermodynamic limit. Finally, we provide concrete scalings for the number of gates needed to implement our protocols on a qubit register with all-to-all connectivities and on a heavy hexagonal coupling map.
Source: Physical Review A
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Funders: National Science Foundation, International Business Machines Corporation, European Commission, Agence Nationale de la Recherche, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, HORIZON EUROPE Framework Programme, Horizon 2020, National Center of Competence in Research Materials’ Revolution: Computational Design and Discovery of Novel Materials
Awards: G1224407097, G220517111, G3482134774, G434337789, NCCR MARVEL: Materials’ Revolution: Computational Design and Discovery of Novel Materials (phase III), G59643002, MOlecular Quantum Simulations, Atomic Quantum Computing as a Service, G7075332745, G7658037602, European infrastructure for Rydberg Quantum Computing, G905075685
OpenAlex ID: W4410560595