Communication games reveal preparation contextuality
Abstract
A communication game consists of distributed parties attempting to jointly complete a task with restricted communication. Such games are useful tools for studying limitations of physical theories. A theory exhibits preparation contextuality whenever its predictions cannot be explained by a preparation noncontextual model. Here, we show that communication games performed in operational theories reveal the preparation contextuality of that theory. For statistics obtained in a particular family of communication games, we show a direct correspondance with correlations in space-like separated events obeying the no-signaling principle. Using this, we prove that all mixed quantum states of any finite dimension are preparation contextual. We report on an experimental realization of a communication game involving three-level quantum systems from which we observe a strong violation of the constraints of preparation noncontextuality.
Cite
@article{arxiv.1704.08223,
title = {Communication games reveal preparation contextuality},
author = {Alley Hameedi and Armin Tavakoli and Breno Marques and Mohamed Bourennane},
journal= {arXiv preprint arXiv:1704.08223},
year = {2017}
}