title: Contextuality in Phase Space.
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.
authors.affiliation: Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, D-57068 Siegen, Germany.
authors.forename: Ali
authors.initials: A
authors.lastname: Asadian
authors.affiliation: Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, D-57068 Siegen, Germany.
authors.forename: Costantino
authors.initials: C
authors.lastname: Budroni
authors.affiliation: Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, D-57068 Siegen, Germany.
authors.forename: Frank E S
authors.initials: FE
authors.lastname: Steinhoff
authors.affiliation: Institute of Atomic and Subatomic Physics, TU Wien, Stadionallee 2, 1020 Wien, Austria.
authors.forename: Peter
authors.initials: P
authors.lastname: Rabl
authors.affiliation: Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, D-57068 Siegen, Germany.
authors.forename: Otfried
authors.initials: O
authors.lastname: Gühne