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Abstract
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We use the symmetry of three-qubit Werner states to compute analytically the three-party
entanglement measure known as three-tangle for these states. The computation shows
that three-qubit Werner states have vanishing three-tangle. Also the optimal pure-state
decompositions realizing the vanishing three-tangle are found. Moreover, the CoffmanKundu-Wootters inequality is checked by computing one-tangle and concurrences of
Werner states. It is found that the one-tangle is always greater than the sum of squared
concurrences and three-tangle
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