论文标题
量子纠缠的信息完整的措施
Informationally complete measures of quantum entanglement
论文作者
论文摘要
尽管量子纠缠已经经过实验验证，并应用于量子计算，量子传感和量子网络，但大多数现有测量方法无法忠实地表征纠缠。在这项工作中，通过利用双方状态$ |ψ\ rangle_ {ab} $的Schmidt分解，我们首先建立了降低状态$ρ_A$的特征多项式之间的一对一对应关系，而多项式的痕迹。然后，我们引入了一个纠缠措施家族，该措施由系统降低的密度矩阵的完整特征值给出。提出了称为信息完整纠缠措施（ICEM）的特定措施，以说明优势。已经证明，这种ICEM可以比现有众所周知的纠缠措施来表征更细的纠缠和更好的纠缠。它们还产生了在当地运营和古典交流下的国家转型标准。此外，我们表明可以在量子计算机上有效估计ICEM。完全可分离性，纠缠和真正的多部分纠缠可以在量子设备上忠实地检测到。
Although quantum entanglement has already been verified experimentally and applied in quantum computing, quantum sensing and quantum networks, most of the existing measures cannot characterize the entanglement faithfully. In this work, by exploiting the Schmidt decomposition of a bipartite state $|ψ\rangle_{AB}$, we first establish a one-to-one correspondence relation between the characteristic polynomial of the reduced state $ρ_A$ and the polynomials its trace. Then we introduce a family of entanglement measures which are given by the complete eigenvalues of the reduced density matrices of the system. Specific measures called informationally complete entanglement measures (ICEMs) are presented to illustrate the advantages. It is demonstrated that such ICEMs can characterize finer and distinguish better the entanglement than existing well-known entanglement measures. They also give rise to criteria of state transformations under local operation and classical communication. Moreover, we show that the ICEMs can be efficiently estimated on a quantum computer. The fully separability, entanglement and genuine multipartite entanglement can detected faithfully on quantum devices.
