Finding all Bell inequalities for a given number of parties, measurement settings and measurement outcomes is in general a computationally hard task. We show that all Bell inequalities which are symmetric under the exchange of parties can be found by examining a symmetrized polytope which is simpler than the full Bell polytope. As an illustration of our method, we generate 238 885 new Bell ineq...

The present work studies quantum and classical correlations in 3-qubits and 4-qubits general Bell states, produced by operating with n B Braid operators on the computational basis of states. The analogies between the general 3qubits and 4-qubits Bell states and that of 2-qubits Bell states are discussed. The general Bell states are shown to be maximal entangled, i.e., with quantum correlations ...

Quantum nonlocality, one of the most important features quantum mechanics, is normally connected in experiments with violation Bell-Clauser-Horne (Bell-CH) inequalities. We propose effective methods for rearrangement and linear inequality to prove a large variety Bell-CH also derive set inequalities using these which can be violated some entangled states.

A class of self-similar sets of entangled quantum states is introduced, for which a recursive definition is provided. These sets, the “Bell gems,” are defined by the subsystem exchange symmetry characteristic of the Bell states. Each Bell gem is shown to be an orthonormal basis of maximally entangled elements.