Gisin's theorem for three qubits

Abstract

The gisin's theorem for three quibits are discussed. A theorem was presented initially that all generalized GHZ states of a three quibit system violates a bell inequality in terms of probabilities. The theorem shows that it was possible for a bell inequality in terms of probability to be violated by all pure entangled generalized GHZ state. The results show that bell inequality can be used to measure the degree of entanglement of the state by knowing that a pure state is a 2-entangled state of three quibit system or not.