Within the Equation of Motion Phonon Method (EMPM) framework, we address the computation of the ground-state eigenpair of nuclear Hamiltonians by reformulating the eigenvalue problem as a Quadratic Unconstrained Binary Optimization (QUBO). To this end, we adopt a QUBO-based iterative steepest-descent algorithm and validate its performance using Simulated Annealing, demonstrating its feasibility for nuclear many-body calculations. This work represents a first step toward implementations on quantum annealers and extensions to the full eigenspectrum.
Solving Standard and Generalized EMPM Eigenvalue Problems: A QUBO Approach for the D-Wave Quantum Annealer
De Gregorio G.
;Nunziata G.;
2025
Abstract
Within the Equation of Motion Phonon Method (EMPM) framework, we address the computation of the ground-state eigenpair of nuclear Hamiltonians by reformulating the eigenvalue problem as a Quadratic Unconstrained Binary Optimization (QUBO). To this end, we adopt a QUBO-based iterative steepest-descent algorithm and validate its performance using Simulated Annealing, demonstrating its feasibility for nuclear many-body calculations. This work represents a first step toward implementations on quantum annealers and extensions to the full eigenspectrum.File in questo prodotto:
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