Solving the homogeneous Bethe-Salpeter equation with a quantum annealer

Autor(es)

Fornetti, Filippo ; Gnech, Alex ; Frederico, Tobias ; Pederiva, Francesco ; Rinaldi, Matteo ; Roggero, Alessandro ; Salme, Giovanni ; Scopetta, Sergio ; Viviani, Michele

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW D; v. 110, n. 5, p. 20-pg., 2024-09-06.

Resumo

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 nonsymmetric 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 PROPRIETARY simulated-annealing package and the D-Wave Advantage 4.1 system. The numerical results very nicely compare with those obtained with standard classical algorithms, and also show interesting scalability features. (AU)

• Processo FAPESP: 19/07767-1 - Reações nucleares com núcleos fracamente ligados ou com estrutura de cluster, radioativos e estáveis
• Beneficiário: Leandro Romero Gasques
• Modalidade de apoio: Auxílio à Pesquisa - Temático