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arXiv · 1502.05799

Contextuality in phase space

Ali Asadian·Costantino Budroni·Frank E. S. Steinhoff·Peter Rabl·Otfried Gühne
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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.

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Ali Asadian, Costantino Budroni, Frank E. S. Steinhoff, Peter Rabl, Otfried Gühne. 2015-02-20. Contextuality in phase space. https://doi.org/10.1103/physrevlett.114.250403

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