Quantum computing of entangled state in atomic nuclei

Collective excitations represent the most entangled regime of nuclear physics. The accurate description of collective correlations, which are responsible for nuclear deformation and rotation, is a challenge for ab initio calculations of heavy nuclei on classical computers. We perform quantum simulations of the deformed ⁸Be and ¹²C nuclei using the symmetry-adapted approach. In this framework, each collective state spans symmetry preserving and highly correlated subspace and is mapped to entangled states on a quantum circuit. We investigated two different state preparation schemes on a quantum circuit to explore the scaling in terms of circuit depth and width. This research enables the direct study of particles and cluster entanglement in atomic nuclei and explores the possibility of solving realistic nuclear physics problems using the near-term hardware.