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

Abstract

We give a complete solution for the three-tangle of mixed three-qubit states composed of a generalized 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. 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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Cited by in corpus (8)

• Generalized W-Class State and its Monogamy Relation
• Estimating entanglement monotones with a generalization of the Wootters formula
• Multipartite monogamy of the concurrence
• Does three-tangle properly quantify the three-party entanglement for Greenberger-Horne-Zeilinger-type states?
• Genuine Multipartite Entanglement of Superpositions
• Exact zeros of entanglement for arbitrary rank-two mixtures: how a geometric view of the zero-polytope makes life more easy
• Geometric Multiaxial Representation of N-qubit Mixed Symmetric Separable States
• Testing the Monogamy Relations via Rank-2 Mixtures