Application of the quantum algorithm of adiabatic state preparation with quantum phase estimation in ab initio nuclear structure theory

Ab initio nuclear structure via quantum adiabatic algorithm

We explore the application of the quantum algorithm of adiabatic state preparation with quantum phase estimation in ab initio nuclear structure theory.We illustrate this algorithm by solving the deuteron ground state energy and the spectrum of the deuteron bounded in a harmonic oscillator trapimplementing the ibm qiskit quantum simulator.The quantum results agree well with the classical results obtained by matrix diagonalization.Our improvements to the efficiency of this algorithm provide a promising tool for investigating the low-lying spectra of complex nuclei on future quantum computers.