Solving Standard and Generalized EMPM Eigenvalue Problems: A QUBO Approach for the D-Wave Quantum Annealer

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.