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Matthias Kleinmann

Universität Siegen, Germany, matthias.kleinmann@gmx.de

State-independent contextuality with nonunit rank

(joint work with Pascal Höhn, Zhen-Peng Xu, Xiao-Dong Yu)

contextuality vs causality

Almost all known instances of quantum contextuality rely on measurements where the projectors have rank one. Indeed, this is sufficient if one only aims to produce contextual correlations and one allows that the measurements as well as the quantum state are specifically tailored to the task. But when one aims to characterize contextuality as a feature of measurements alone, that is, for state-independent contextuality, it is no clear that all contextuality scenarios can be realized using only rank-one projectors. In this talk I will discuss the prospects of contextuality with nonunit rank and present generic construction methods for scenarios which only exhibit state-independent contextuality if the projectors have nonunit rank.