Purity and coherence of a quantum state are recognized as useful resources for various information processing tasks. In this article, we propose a fidelity based valid measure of purity and coherence monotone and establish a relationship between them. This formulation of coherence is extended to quantum correlation relative to measurement. We have also studied the role of weak measurement on purity.
@article{arxiv.2104.03844,
title = {Fidelity based purity and coherence for quantum states},
author = {Indrajith V S and R. Muthuganesan and R. Sankaranarayanan},
journal= {arXiv preprint arXiv:2104.03844},
year = {2021}
}