Nov 14 – 15, 2022
Europe/Rome timezone

A generalized eigenvalue problem via a quantum annealer

Nov 15, 2022, 10:15 AM
Aula Specola (Bologna)

Aula Specola


Palazzo Poggi Via Zamboni 33
Fondazionale Martedi


Alex Gnech (ECT*)


As is well-known, eigenvalue problems have to be solved in many areas of physics and applied sciences. While several algorithms exist for classical computing, the possibilities of quantum computing in this field are not entirely explored. In this talk, we will present a quantum annealer algorithm based on the D-wave system that has the aim of solving the Generalized Eigenvalue Problem for the Symmetric and for the first time (to our knowledge) the Non-symmetric case. As an example, we will present an application of this algorithm to the homogeneous Bethe-Salpeter equation, that allows to non-perturbatively describe the dynamics in a bound system, within the relativistic quantum-field theory. The algorithm has been developed in the context of an approved project of Q@TN.

Primary author


Filippo Fornetti (University of Perugia) Francesco Pederiva (Istituto Nazionale di Fisica Nucleare) Giovanni Salme' (Istituto Nazionale di Fisica Nucleare - Roma) Matteo Rinaldi (Istituto Nazionale di Fisica Nucleare) Michele Viviani (Istituto Nazionale di Fisica Nucleare) Sergio Scopetta (Istituto Nazionale di Fisica Nucleare) Tobias Frederico (Instituto Tecnologico de Aeronautica)

Presentation materials