Werner states from diagrams
Werner states from diagrams
复制标题
DOI：
10.1088/1751-8121/acd039
复制
发表时间：
2023-02
期刊：
影响因子：
--
通讯作者：
David W. Lyons;C. Mullican;Adam Rilatt;Jack D. Putnam
中科院分区：
文献类型：
--
作者：
David W. Lyons;C. Mullican;Adam Rilatt;Jack D. Putnam
我们提出了关于多量子位沃纳态的两个结果，定义为在任何给定的单量子位酉同时作用于所有量子位的集体作用下不变的状态。出于表征维尔纳态纠缠性质的愿望，我们在纯态希尔伯特空间上构造了维尔纳不变埃尔米特算子的实线性向量空间的基础；由此可见，任何混合维尔纳状态都可以写成这些具有唯一系数的基算子的混合。继续研究早期工作中构建的“多边形图”Werner 态，目标是将图与纠缠性质联系起来，我们考虑了一系列多量子位态，它们概括了单态，并表明它们的 2 量子位约简密度矩阵是可分离的。
We present two results on multiqubit Werner states, defined to be those states that are invariant under the collective action of any given single-qubit unitary that acts simultaneously on all the qubits. Motivated by the desire to characterize entanglement properties of Werner states, we construct a basis for the real linear vector space of Werner invariant Hermitian operators on the Hilbert space of pure states; it follows that any mixed Werner state can be written as a mixture of these basis operators with unique coefficients. Continuing a study of ‘polygon diagram’ Werner states constructed in earlier work, with a goal to connect diagrams to entanglement properties, we consider a family of multiqubit states that generalize the singlet, and show that their 2-qubit reduced density matrices are separable.