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

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

2008-05-16

arxiv.org/abs/0805.2472v2

EPL 87 (2009) 20006

Physics

Quantum Physics

16 pages, no figues, some changes including the title

Scientific paper

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 $l$ ($2\leq l\leq (n-2)$) 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 $l\neq n/2$ excitations under SLOCC, and that all the $n$-qubit symmetric Dicke states with $l$ ($2\leq l\leq (n-2)$) excitations satisfy Coffman, Kundu and Wootters' generalized monogamy inequality $C_{12}^{2}+...+C_{1n}^{2}

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