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Three-tangle for mixtures of generalized GHZ and generalized W states

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Published 10 April 2008 Published under licence by IOP Publishing Ltd
, , Citation C Eltschka et al 2008 New J. Phys. 10 043014 DOI 10.1088/1367-2630/10/4/043014

1367-2630/10/4/043014

Abstract

We give a complete solution for the three-tangle of mixed three-qubit states composed of a generalized Greenberger–Horne–Zeilinger (GHZ) state, a|000⟩+b|111⟩, and a generalized W state, c|001⟩+d|010⟩+f|100⟩. Using the methods introduced by Lohmayer et al (2006 Phys. Rev. Lett. 97 260502), we provide explicit expressions for the mixed-state three-tangle and the corresponding optimal decompositions for this more general case. Moreover, as a special case, we obtain a general solution for a family of states consisting of a generalized GHZ state and an orthogonal product state.

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10.1088/1367-2630/10/4/043014