Verification of the Violation of WWZB Inequality Using Werner States

Abstract

The generation and manipulation of entangled particles presents itself as one of the most important results in quantum mechanics. With the work from Bell, it was possible to prove the nonlocal nature of quantum mechanics, which is nowadays widely accepted. Apart from being possible to prove entanglement from Bell's inequality, it is difficult to compute the system as it increases the number of particles. Such a system containing N qubits can be described by Werner-Wolf-Zukowski-Brukner (WWZB) inequality. In this work, we show how to obtain the maximum of violation of WWZB inequality using a Werner state, simplifying the problem considerably. We get two different results; one for a system containing an odd number of particles and other for a system containing an even number.