Probing Mermin’s inequalities violations through pseudospin operators

Abstract

The violation of Mermin’s inequalities is analyzed by making use of two different Bell setups built with pseudospin operators. Employing entangled states defined by means of squeezed and coherent states, the expectation value of Mermin’s polynomials $M_n$ is evaluated for $n=3$ and $n=4$. In each case, we analyze the correlator $〈M_n〉$ and identify the set of parameters leading to the violation of Mermin’s inequalities and to the saturation of the bound predicted by Quantum Mechanics.