Speaker
Description
Estimating low-energy spectra is a central problem in many-body physics. For nuclei, this is typically addressed with the nuclear shell model (NSM), but calculations of excited states are limited by the exponential growth of the basis with particle number. While quantum computers are expected to overcome this challenge, most proposed methods for the NSM focus only on ground-state energies [1,2]. Here, we apply the recently proposed Quantum Krylov Diagonalization [3] to compute excited states. We quantify the required resources and evaluate accuracy with and without Trotterization. For studied nuclei, the results show good agreement with classical benchmarks, while not suitable for real hardware.
[1] Pérez-Obiol, A., Romero, A.M., Menéndez, J. et al. Nuclear shell-model simulation in digital quantum computers. Sci Rep 13, 12291 (2023).
[2] Costa, E., Perez-Obiol, A., Menendez, J., Rios, A., Garcia-Saez, A., & Julia-Diaz, B. (2024). A Quantum Annealing Protocol to Solve the Nuclear Shell Model arXiv:2411.06954. (2024)
[3] Yoshioka, N., Amico, M., Kirby, W. et al. Krylov diagonalization of large many-body Hamiltonians on a quantum processor. Nat Commun 16, 5014 (2025).
