Shell-model study of $^{58}$Ni using quantum computing algorithm

• DOI: 10.48550/arxiv.2402.15577
• Publication Date: 2024-02-23
• Authors: Bharti Bhoy; P. D. Stevenson

This study presents a simulated quantum computing approach for the investigation into shell-model energy levels of $^{58}$Ni through application variational eigensolver (VQE) method in combination with problem-specific ansatz. The primary objective is to achieve fully accurate low-lying spectrum $^{58}$Ni. chosen isotope, particularly interesting nuclear physics its role astrophysical reactions while also being simple but not-trivial nucleus study, it two particles outside closed shell. Our ansatz, along VQE are shown be able reproduce exact values ground state and first second excited states. We compare classical shell model code, obtained by diagonalization Hamiltonian after qubit mapping, noiseless ansatz+VQE simulation. agreement between qubit-mapped diagonalisation shows correctness our method, high accuracy simulation means that ansatz suitable allow full reconstruction wave function.