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The quantum imaginary time evolution (QITE) algorithm is a directimplementation of the classical imaginary time evolution algorithm on quantumcomputer. We implement the QITE algorithm for the case of nuclear Hartree-Fockequations in a formalism equivalent to nuclear density functional theory. Wedemonstrate the algorithm in the case of the helium-4 nucleus with a simplifiedeffective interaction of the Skyrme kind and demonstrate that the QITE, asimplemented on simulated quantum computer, gives identical results to theclassical algorithm.

A Quantum Simulation Approach to Implementing Nuclear Density Functional Theory via Imaginary Time Evolution