Quantum-collapse Bell inequalities

Comment on " Bell Inequalities and Quantum Mechanics "

Errors in Eberly’s derivation of several Bell inequalities are pointed out: (1) it is based on an equation that is incorrect; (2) it uses neither two-particle states nor locality to derive Bell’s inequalities and; (3) it does not use entanglement to obtain violations of Bell’s inequalities. Even leading and outstanding physicists – as certainly is the case of Prof. Eberly – sometimes make eleme...

Nonlinear Bell Inequalities Tailored for Quantum Networks.

In a quantum network, distant observers sharing physical resources emitted by independent sources can establish strong correlations, which defy any classical explanation in terms of local variables. We discuss the characterization of nonlocal correlations in such a situation, when compared to those that can be generated in networks distributing independent local variables. We present an iterati...

From Quantum State Targeting to Bell Inequalities

Quantum state targeting is a quantum game which results from combining traditional quantum state estimation with additional classical information. We consider a particular version of the game and show how it can be played with maximally entangled states. The optimal solution of the game is used to derive a Bell inequality for two entangled qutrits. We argue that the nice properties of the inequ...

Multidimensional Bell Inequalities and Quantum Cryptography

Equivalence between Bell inequalities and quantum Minority game

We show that, for a continuous set of entangled four-partite states, the task of maximizing the payoff in the symmetric-strategy four-player quantum Minority game is equivalent to maximizing the violation of a four-particle Bell inequality with each observer choosing the same set of two dichotomic observables. We conclude the existence of direct correspondences between (i) the payoff rule and B...