Entangled three-qubit states without concurrence and three-tangle

Lohmayer, Robert and Osterloh, Andreas and Siewert, Jens and Uhlmann, Armin (2006) Entangled three-qubit states without concurrence and three-tangle. PHYSICAL REVIEW LETTERS, 97 (26): 260502. ISSN 0031-9007,

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Abstract

We provide a complete analysis of mixed three-qubit states composed of a Greenberger-Horne-Zeilinger 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.

Item Type: Article
Uncontrolled Keywords: MONOTONES; SYSTEMS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 15 Jan 2021 06:40
Last Modified: 15 Jan 2021 06:40
URI: https://pred.uni-regensburg.de/id/eprint/33642

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