Simple hardy-like proof of quantum contextuality.
Contextuality and nonlocality are two fundamental properties of nature. Hardy's proof is considered the simplest proof of nonlocality and can also be seen as a particular violation of the simplest Bell inequality. A fundamental question is: Which is the simplest proof of contextuality? We show that there is a Hardy-like proof of contextuality that can also be seen as a particular violation of the simplest noncontextuality inequality. Interestingly, this new proof connects this inequality with the proof of the Kochen-Specker theorem, providing the missing link between these two fundamental results, and can be extended to an arbitrary odd number n of settings, an extension that can be seen as a particular violation of the n-cycle inequality.
Departamento de Física Aplicada II, Universidad de Sevilla, E-41012 Sevilla, Spain.
Adán
A
Cabello
Piotr
P
Badziag
Marcelo
M
Terra Cunha
Mohamed
M
Bourennane