Exploring algorithms for quantum computing of atomic nuclei

Abstract

Quantum Computation techniques have been used to solve the Deuteron problem namely to obtain the eigenstates and eigenvalues of the groundstate of Deuteron. 2 encoding schemes(JWT and GC) are discussed to convert the Hamiltonian into sum weighted Pauli matrices. 3 quantum algorithms(VQE, QPE and DPE) are explored to obtain the desired properties. Modified QPE was also introduced to obtain the eigenstate by performing adiabatic time evolution of a guess state. These are algorithms are created such that it can be used to any nuclear many-body physics problems.