It has been recently shown that measurement incompatibility and fine grained uncertainty—a particular form of preparation uncertainty relation—are deeply related to the nonlocal feature of quantum mechanics. In particular, the degree of measurement incompatibility in a no-signaling theory determines the bound on the violation of Bell-CHSH inequality, and a similar role is also played by (fine-g...

Considering generalized concurrence as the criterion of entanglement, we study entanglement properties of superposition of two qutrit coherent states, as a function of their amplitudes. These states may attain maximum entanglement or no entanglement at all, depending on the choice of the parameters involved. The states revealing maximum entanglement also display the maximum violations of the Be...

In [PRL, 113, 050401 (2014)] the authors have shown that instead of L$\ddot{u}$der rule, if degeneracy breaking von Neumann projection rule is adopted for state reduction, quantum value three-time Leggett-Garg inequality can exceed it's L$\ddot{u}$ders bound. Such violation bound may even approach algebraic maximum in asymptotic limit system size. They also claim Clauser-Horne-Shimony-Holt (CHS...

Bell inequalities are relevant for many problems in quantum information science, but finding them particles is computationally hard. Recently, a feasible method called cone-projection technique has been developed to find all optimal under some constraints, which may be given by symmetry or other linear conditions. In this paper we extend work several directions. We use the generalize I4422 ineq...

We present a cognitive psychology experiment where participants were asked to select pairs of spatial directions that they considered to be the best example of Two Different Wind Directions. Data are shown to violate the CHSH version of Bell’s inequality with the same magnitude as in typical Bell-test experiments with entangled spins. Wind directions thus appear to be conceptual entities connec...

The Clauser-Horne-Shimony-Holt (CHSH) inequalities are the most famous examples of Bell inequalities. Cabello, Severini, and Winter came up with a graph approach to noncontextuality inequalities, which connects some graph-theoretic concepts quantum classical correlations. For example, theta body exclusivity can be associated set correlations achieved by theory. Following Cabello-Severini-Winter...

The Bell theorem for a pair of two-state systems in a singlet state is formulated for the entire range of measurement settings. Typeset using REVTEX 1 The Bell theorem is usually formulated with the help of the Clauser-Horne [1] or the CHSH inequality [2]. These inequalities are satisfied by any local realistic theory and are violated by quantum mechanical predictions. They involve two apparatu...

A proof of Bell's theorem without inequalities and involving only two observers is given by suitably extending a proof of the Bell-Kochen-Specker theorem due to Mermin. This proof is generalized to obtain an inequality-free proof of Bell's theorem for a set of n Bell states (with n odd) shared between two distant observers. A generalized CHSH inequality is formulated for n Bell states shared sy...

A proof of Bell's theorem without inequalities and involving only two observers is given by suitably extending a proof of the Bell-Kochen-Specker theorem due to Mermin. This proof is generalized to obtain an inequality-free proof of Bell's theorem for a set of n Bell states (with n odd) shared between two distant observers. A generalized CHSH inequality is formulated for n Bell states shared sy...

In the paper it is demonstrated that Bells theorem an unprovable theorem.