MULTI-QUBIT TRIGONOMETRIC STATES AND ENTANGLEMENT MONOTONES

The formalism of functions of commuting nilpotent variables allows to describe multi-qubit pure states and their entanglement. The family of states defined by the generalized trigonometric eta-functions is specially interesting from mathematical and physical point of view (it covers the set of physically interesting states, including: Werner states, cluster Werner states, GHZ states etc.). We analyze the behavior of two recently proposed symmetric entanglement monotones on the trigonometric states.