Publications
Publication Information
| Title | Solving the homogeneous Bethe-Salpeter equation with a quantum annealer |
| Authors | Filippo Fornetti, Alex Gnech, Francesco Pederiva, Matteo Rinaldi, Alessandro Roggero, Giovanni Salme', Sergio Scopetta, Michele Viviani |
| JLAB number | JLAB-THY-24-4097 |
| LANL number | (None) |
| Other number | DOE/OR/23177-7646 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
|
Journal Compiled for Physical Review D Volume 110 Page(s) 056012 | |
| Publication 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 non symmetric. The latter matrix poses the challenge of obtaining a suitable formal approach for investigating the non symmetric 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-anneaing 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. |
| Experiment Numbers: | other |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevD.110.056012 |
| Accepted Manuscript: | PhysRevD.110.056012.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |