Entangled three-qubit states without concurrence and three-tangle

被引:161
|
作者
Lohmayer, Robert [1 ]
Osterloh, Andreas
Siewert, Jens
Uhlmann, Armin
机构
[1] Univ Regensburg, Inst Theoret Phys, D-93040 Regensburg, Germany
[2] Leibniz Univ Hannover, Inst Theoret Phys, D-30167 Hannover, Germany
[3] MATIS, INFM, DMFCI, I-95125 Catania, Italy
[4] Univ Leipzig, Inst Theoret Phys, D-04109 Leipzig, Germany
关键词
D O I
10.1103/PhysRevLett.97.260502
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
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页数:4
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