Entropic Nonsignaling Correlations

Stress correlations in granular materials: an entropic formulation.

We study the response of dry granular materials to external stress using experiment, simulation, and theory. We derive a Ginzburg-Landau functional that enforces mechanical stability and positivity of contact forces. In this framework, the elastic moduli depend only on the applied stress. A combination of this feature and the positivity constraint leads to stress correlations whose shape and ma...

Symplectic invariants, entropic measures and correlations of Gaussian states

We present a derivation of the Von Neumann entropy and mutual information of arbitrary two–mode Gaussian states, based on the explicit determination of the symplectic eigenvalues of a generic covariance matrix. The key role of the symplectic invariants in such a determination is pointed out. We show that the Von Neumann entropy depends on two symplectic invariants, while the purity (or the line...

The overlooked signaling component of nonsignaling behavior

The handicap principle (Zahavi, 1975, 1987; Zahavi and Zahavi, 1997) is now widely used to explain the evolution of conspicuous signals such as tail ornaments, courtship displays, and nestling begging (Godfray, 1991; Grafen, 1990a,b; Johnston, 1997; Maynard Smith and Harper, 1995). The essence of the model is that signals must be costly to be honest. Females have evolved preferences for males w...

Monogamy of Bell's inequality violations in nonsignaling theories.

We derive monogamy relations (tradeoffs) between strengths of violations of Bell's inequalities from the nonsignaling condition. Our result applies to general Bell inequalities with an arbitrary large number of partners, outcomes, and measurement settings. The method is simple, efficient, and does not require linear programing. The results are used to derive optimal fidelity for asymmetric clon...

Entropic Questioning