Variational hybrid algorithms for nuclear shell model simulations

Abstract

Quantum computing is rising as one of the most promising technologies in the near future. One of the best known features of quantum devices is their ability to represent quantum many-body systems, which are harder to simulate for a classical device. However, quantum computers still cannot provide high-precision results. This motivate the creation of quantum-classical algorithms able to simulate the ground state of many-body systems reducing the computational load in quantum devices, the so-called Variational Quantum Eigensolvers (VQEs). In this work, we present classical simulations of two of the most promising VQEs, the Unitary Coupled Cluster (UCC) and the Adaptative Derivative-Assembled Pseudo-Trotter (ADAPT), within the nuclear shell model. In particular, we use both methods to solve the structure of light atomic nuclei, from 6Li to 10Be, and compare their performances