Entangled Three-Qubit States without Concurrence and Three-Tangle
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Publication:3107819
DOI10.1103/PHYSREVLETT.97.260502zbMATH Open1228.81071arXivquant-ph/0606071OpenAlexW2041057836WikidataQ62593403 ScholiaQ62593403MaRDI QIDQ3107819
Author name not available (Why is that?)
Publication date: 26 December 2011
Published in: (Search for Journal in Brave)
Abstract: We provide a complete analysis of mixed three-qubit states composed of a GHZ state and a W state orthogonal to the former. We present optimal decompositions and convex roofs for the three-tangle. Further, we provide an analytical method to decide whether or not an arbitrary rank-2 state of three qubits has vanishing three-tangle. These results highlight intriguing differences compared to the properties of two-qubit mixed states, and may serve as a quantitative reference for future studies of entanglement in multipartite mixed states. By studying the Coffman-Kundu-Wootters inequality we find that, while the amounts of inequivalent entanglement types strictly add up for pure states, this ``monogamy can be lifted for mixed states by virtue of vanishing tangle measures.
Full work available at URL: https://arxiv.org/abs/quant-ph/0606071
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