Year: 2024
Type: article
Abstract: The homogeneous Bethe-Salpeter equation (hBSE), describing a bound system in a genuinely relativistic quantum-field theory framework, was solved for the first time by using a D-Wave quantum annealer. After applying standard techniques of discretization, the hBSE, in ladder approximation, can be formally transformed in a generalized eigenvalue problem (GEVP), with two square matrices: one symmetric and the other nonsymmetric. The latter matrix poses the challenge of obtaining a suitable formal approach for investigating the GEVP by means of a quantum annealer, i.e., to recast it as a quadratic unconstrained binary optimization problem. A broad numerical analysis of the proposed algorithms, applied to matrices of dimension up to 64, was carried out by using both the simulated-annealing package and the D-Wave . The numerical results very nicely compare with those obtained with standard classical algorithms, and also show interesting scalability features. Published by the American Physical Society 2024
Institutions: University of Perugia, Istituto Nazionale di Fisica Nucleare, Sezione di Perugia, Old Dominion University, Instituto Tecnológico de Aeronáutica, Istituto Nazionale di Fisica Nucleare, University of Trento, Istituto Nazionale di Fisica Nucleare, Trento Institute for Fundamental Physics And Applications, Istituto Nazionale di Fisica Nucleare, Sezione di Roma I, Istituto Nazionale di Fisica Nucleare, Sezione di Pisa
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: hybrid
Funders: U.S. Department of Energy, Fundação de Amparo à Pesquisa do Estado de São Paulo, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fondazione Bruno Kessler, Università degli Studi di Trento, Instituto Nacional de Ciência e Tecnologia: Física Nuclear e Aplicações, Office of Science, Instituto Nazionale di Fisica Nucleare, Thomas Jefferson National Accelerator Facility
OpenAlex ID: W4402309819