Parameter dependence and Bell nonlocality

Bell inequality, nonlocality and analyticity

The Bell and the Clauser-Horne-Shimony-Holt inequalities are shown to hold for both the cases of complex and real analytic nonlocality in the setting parameters of Einstein-Podolsky-Rosen-Bohm experiments for spin 12 particles and photons, in both the deterministic and stochastic cases. Therefore, the theoretical and experimental violation of the inequalities by quantum mechanics excludes all h...

Quantum steering, entanglement and Bell nonlocality

Quantum steering, the ability of one party to perform a measurement on their side of an entangled system with different outcomes leading to different sets of states for another part of the entangled system arbitrarily far away, is a purely quantum phenomena with no classical analogue. However, it is closely related (and indeed equivalent for pure states) to entanglement and Bell nonlocality. Th...

Joint measurability, Einstein-Podolsky-Rosen steering, and Bell nonlocality.

We investigate the relation between the incompatibility of quantum measurements and quantum nonlocality. We show that a set of measurements is not jointly measurable (i.e., incompatible) if and only if it can be used for demonstrating Einstein-Podolsky-Rosen steering, a form of quantum nonlocality. Moreover, we discuss the connection between Bell nonlocality and joint measurability, and give ev...

Entanglement, Einstein-Podolsky-Rosen correlations, Bell nonlocality, and steering

In a recent work Phys. Rev. Lett. 98, 140402 2007 we defined “steering,” a type of quantum nonlocality that is logically distinct from both nonseparability and Bell nonlocality. In the bipartite setting, it hinges on the question of whether Alice can affect Bob’s state at a distance through her choice of measurement. More precisely and operationally, it hinges on the question of whether Alice, ...

Bell scenarios in which nonlocality and entanglement are inversely related