Stochastic local operations and classical communication properties of the n-qubit symmetric Dicke statesDafa Li1, Xinxin Li2, Hongtao Huang3 and Xiangrong Li4
1 Department of Mathematical Sciences, Tsinghua University - Beijing 100084, China
2 Department of Computer Science, Wayne State University - Detroit, MI 48202, USA
3 Electrical Engineering and Computer Science Department, University of Michigan - Ann Arbor, MI 48109, USA
4 Department of Mathematics, University of California - Irvine, CA 92697-3875, USA
received 14 May 2009; accepted in final form 17 July 2009; published July 2009
published online 18 August 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 .
03.65.Ud - Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.).
03.67.Mn - Entanglement measures, witnesses, and other characterizations.
© EPLA 2009