Entangled states associated with N-qubit GHZ paradoxes

Many workers have generalized the original GHZ paradox by replacing the qubits in it by qudits and the three observers by an arbitrary number of observers. We point out that if one stays with qubits but allows an arbitrary number of observers, a large number of paradoxes are possible. Some of the paradoxes come in families that extend upwards to all numbers of qubits. The entangled states connected within these paradoxes come in a wide variety. We survey the different types of entangled states that occur and also discuss some of their applications.