Universality of state-independent violation of correlation inequalities for noncontextual theories.
We show that the state-independent violation of inequalities for noncontextual hidden variable theories introduced in [Phys. Rev. Lett. 101, 210401 (2008)] is universal, i.e., occurs for any quantum mechanical system in which noncontextuality is meaningful. We describe a method to obtain state-independent violations for any system of dimension d> or =3. This universality proves that, according to quantum mechanics, there are no "classical" states.
Department of Physics, Stockholm University, S-10691, Stockholm, Sweden. pbg01@physto.se
Piotr
P
Badziag
Ingemar
I
Bengtsson
Adán
A
Cabello
Itamar
I
Pitowsky