A generalised framework for non-classicality of states
Abstract
Non-classical probability (along with its underlying logic) is a defining feature of quantum mechanics. A formulation that incorporates them, inherently and directly, would promise a unified description of seemingly different prescriptions of non-classicality of states that have been proposed so far. This paper sets up such a formalism. It is based on elementary considerations, free of ad-hoc definitions, and is completely operational. It permits a systematic construction of non-classicality conditions on states and also to quantify the non-classicality, at the same time. This quantification, as shown for the example of two level systems, can serve as a measure of coherence and can be furthermore, harnessed to obtain a measure for pure state entanglement for coupled two level systems.
Cite
@article{arxiv.1710.04371,
title = {A generalised framework for non-classicality of states},
author = {Soumik Adhikary and Sooryansh Asthana and V. Ravishankar},
journal= {arXiv preprint arXiv:1710.04371},
year = {2019}
}