Contextuality in phase space
Quantum Physics
2015-06-30 v3
Abstract
We present a general framework for contextuality tests in phase space using displacement operators. First, we derive a general condition that a single-mode displacement operator should fulfill in order to construct Peres-Mermin square and similar scenarios. This approach offers a straightforward scheme for experimental implementations of the tests via modular variable measurements. In addition to the continuous variable case, our condition can also be applied to finite-dimensional systems in discrete phase space, using Heisenberg-Weyl operators. This approach, therefore, offers a unified picture of contextuality with a geometric flavor.
Cite
@article{arxiv.1502.05799,
title = {Contextuality in phase space},
author = {Ali Asadian and Costantino Budroni and Frank E. S. Steinhoff and Peter Rabl and Otfried Gühne},
journal= {arXiv preprint arXiv:1502.05799},
year = {2015}
}
Comments
5+3 pages, 4 figures. Missing appendix added