Stochastic local operations and classical communication properties of the n-qubit symmetric Dicke states
Dafa Li, Xinxin Li, Hongtao Huang, Xiangrong Li · Europhysics Letters (EPL) · 2009
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 | GHZ ⟩ state or the | 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 ≠ 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 1 n 2 < C 1(2... n ) 2 <1.