| Full text | |
| Author(s): |
Fornetti, Filippo
;
Gnech, Alex
;
Frederico, Tobias
;
Pederiva, Francesco
;
Rinaldi, Matteo
;
Roggero, Alessandro
;
Salme, Giovanni
;
Scopetta, Sergio
;
Viviani, Michele
Total Authors: 9
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW D; v. 110, n. 5, p. 20-pg., 2024-09-06. |
| 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 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) | |
| FAPESP's process: | 19/07767-1 - Nuclear reactions with weakly-bound or cluster-structured radioactive and stable nuclei |
| Grantee: | Leandro Romero Gasques |
| Support Opportunities: | Research Projects - Thematic Grants |