Solving the homogeneous Bethe-Salpeter equation with a quantum annealer
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
Authors
- Alex Gnech (ORCID: https://orcid.org/0000-0002-2077-3866)
- Sergio Scopetta (ORCID: https://orcid.org/0000-0002-3273-1161)
- M. Viviani (ORCID: https://orcid.org/0000-0002-4682-4924)
- Matteo Rinaldi (ORCID: https://orcid.org/0000-0001-7818-424X)
- G. Salmè (ORCID: https://orcid.org/0000-0002-9209-3464)
- Alessandro Roggero (ORCID: https://orcid.org/0000-0002-8334-1120)
- T. Frederico (ORCID: https://orcid.org/0000-0002-5497-5490)
- Francesco Pederiva (ORCID: https://orcid.org/0000-0002-7242-0042)
- Filippo Fornetti (ORCID: https://orcid.org/0009-0008-1484-8922)
Institutions
- Instituto Tecnológico de Aeronáutica (BR)
- University of Trento (IT)
- University of Perugia (IT)
- Thomas Jefferson National Accelerator Facility (US)
- Dominion University College (GH)
- Istituto Nazionale di Fisica Nucleare, Trento Institute for Fundamental Physics And Applications (IT)
- Istituto Nazionale di Fisica Nucleare, Sezione di Roma I (IT)
- Istituto Nazionale di Fisica Nucleare, Sezione di Pisa (IT)
- Istituto Nazionale di Fisica Nucleare, Sezione di Perugia (IT)
- Old Dominion University (US)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2024-09-06
- DOI
- https://doi.org/10.1103/physrevd.110.056012
- Citations
- 2
- Primary Topic
- Quantum Computing Algorithms and Architecture
- Type
- article
- Field-Weighted Citation Impact
- 0.69
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