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Quantum simulation approach to implementing nuclear density functional theory via imaginary time evolution

Y. Li, J. Al-Khalili, P. Stevenson·August 29, 2023·DOI: 10.1103/PhysRevC.109.044322
Physics

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Abstract

The quantum imaginary time evolution (QITE) algorithm is a direct implementation of the classical imaginary time evolution algorithm on quantum computer. We implement the QITE algorithm for the case of nuclear Hartree-Fock equations in a formalism equivalent to nuclear density functional theory. We demonstrate the algorithm in the case of the helium-4 nucleus with a simplified effective interaction of the Skyrme kind and demonstrate that the QITE, as implemented on simulated quantum computer, gives identical results to the classical algorithm.

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