Interaction of molecules with light may lead to electronic transitions and simultaneous vibrational excitations. Franck-Condon factors (FCFs) play an important role in quantifying the intensities of such vibronic transitions occurring during molecular photo-excitations. In this article, we describe a general method for estimating FCFs using a quantum information processor. The method involves the application of a translation operator followed by the measurement of certain projections. We also illustrate the method by experimentally estimating FCFs with the help of a three-qubit NMR quantum information processor. We describe two methods for the measurement of projections - (i) using diagonal tomography and (ii) using Moussa protocol. The experimental results agree fairly well with the theory.
@article{arxiv.1405.2400,
title = {Estimating Franck-Condon factors using an NMR quantum processor},
author = {Sharad Joshi and Abhishek Shukla and Hemant Katiyar and Anirban Hazra and T. S. Mahesh},
journal= {arXiv preprint arXiv:1405.2400},
year = {2015}
}