Stochastic local operations and classical communication properties of the n-qubit symmetric Dicke states

Recently, several schemes for the experimental creation of Dicke states were described. In this paper, we show that all the n-qubit symmetric Dicke states with l (2 <= l <= (n-2)) excitations are inequivalent to the vertical bar GHZ > state or the vertical bar W > state under SLOCC, that the even n-qubit symmetric Dicke state with n/2 excitations is inequivalent to any even n-qubit symmetric Dicke state with l not equal n/2 excitations under SLOCC, and that all the n-qubit symmetric Dicke states with l (2 <= l <= (n-2)) excitations satisfy Coffman, Kundu and Wootters' generalized monogamy inequality C-12(2) +...+ C-1n(2) < C-1(2) (2...n) < 1. Copyright (C) EPLA, 2009