In the past years increasing effort has been devoted to re-examining quantum many-body systems from a quantum information point of view. In particular, there has been
renewed interest in understanding the phenomenon of entanglement due to its essential role in quantum computing and potential guidance in formulating the many-
body problem.

In this talk we investigate entanglement properties of nuclear systems, including solvable models and light nuclei, obtained from calculations with effective model spaces. We study how entanglement structures rearrange into localized regions of the Hilbert space through Hamiltonian transformation, and the relation to physical phenomena. We also explore how entanglement localization can be utilized to develop quantum algorithms that efficiently leverage the potential of quantum computers. To this aim, we introduce a “Hamiltonian-Learning Variational Quantum Eigensolver” to simultaneously determine the Hamiltonian and ground-state wave function in effective model spaces, which we apply to simple models. Finally, we investigate the potential utility of using quantum computers with arrays of qudits for the simulation of quantum systems with underlying symmetries.