Entanglement of Three-Qubit Greenberger-Horne-Zeilinger-Symmetric States
Entanglement of Three-Qubit Greenberger-Horne-Zeilinger-Symmetric States
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DOI：
10.1103/physrevlett.108.020502
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发表时间：
2012-01-13
影响因子：
8.6
通讯作者：
Siewert, Jens
中科院分区：
文献类型：
--
作者：
Eltschka, Christopher;Siewert, Jens
在 Werner 的开创性工作 [Phys. Rev. A 40, 4277 (1989)]。物理上重要的扩展涉及纯纠缠态 [例如 Greenberger-Horne-Zeilinger (GHZ) 态] 和非极化态的混合。这些混合状态作为多部分纠缠鲁棒性的基准。它们具有 GHZ 状态的对称性。我们称这种状态为 GHZ 对称状态。在这里，我们给出了三量子位 GHZ 对称态族中纠缠的完整描述，特别是三量子位广义维尔纳态的纠缠。我们的方法依赖于状态的适当参数化以及一般局部操作下纠缠性质的不变性。应用程序是任意三量子位态纠缠类的对称见证的定义。
The first characterization of mixed-state entanglement was achieved for two-qubit states in Werner's seminal work [Phys. Rev. A 40, 4277 (1989)]. A physically important extension concerns mixtures of a pure entangled state [such as the Greenberger-Horne-Zeilinger (GHZ) state] and the unpolarized state. These mixed states serve as benchmark for the robustness of multipartite entanglement. They share the symmetries of the GHZ state. We call such states GHZ symmetric. Here we give a complete description of the entanglement in the family of three-qubit GHZ-symmetric states and, in particular, of the three-qubit generalized Werner states. Our method relies on the appropriate parametrization of the states and on the invariance of entanglement properties under general local operations. An application is the definition of a symmetrization witness for the entanglement class of arbitrary three-qubit states.