A Method of Determining Excited-States for Quantum Computation
Quantum Physics
2023-08-14 v1
Abstract
A method is presented in which the ground-state subspace is projected out of a Hamiltonian representation. As a result of this projection, an effective Hamiltonian is constructed where its ground-state coincides with an excited-state of the original problem. Thus, low-lying excited-state energies can be calculated using existing hybrid-quantum classical techniques and variational algorithm(s) for determining ground-state. The method is shown to be fully valid for the H2 molecule. In addition, conditions for the method's success are discussed in terms of classes of Hamiltonians.
Cite
@article{arxiv.1908.05238,
title = {A Method of Determining Excited-States for Quantum Computation},
author = {P. Jouzdani and S. Bringuier and M. Kostuk},
journal= {arXiv preprint arXiv:1908.05238},
year = {2023}
}