论文标题
量子纠缠和转向检测的一般方案
General Schemes for Quantum Entanglement and Steering Detection
论文作者
论文摘要
可分离性问题是量子信息理论中的长期棘手问题。在本文中，我们提出了一种通用方法，可以通过任意测量$ \ boldsymbol {x} $检测纠缠，通过该测量，通过该方法建立了几个新标准。发现新标准纳入了文献中的许多流行标准。我们的方法也适用于转向检测，该检测具有忽略涉及量子状态的知识的优点。引入了一种在检测纠缠和转向中起重要作用的测量轨道概念，从而启发了我们对不确定性关系的理解。此外，对称性信息完全正面的正面操作员价值措施（SIC-POVM）的扩展，即。提出了对称完整测量（SCM），并采用分析量子状态。
Separability problem is a long-standing tough issue in quantum information theory. In this paper, we propose a general method to detect entanglement via arbitrary measurement $\boldsymbol{X}$, by which several novel criteria are established. The new criteria are found incorporate many of the prevailing ones in the literatures. Our method is applicable as well to the steering detection, which possesses a merit of ignoring the knowledge of involved quantum states. A concept of measurement orbit, which plays an important role in the detection of entanglement and steering, is introduced, which enlightens our understanding of uncertainty relation. Moreover, an extension of symmetric informationally complete positive operator-valued measures (SIC-POVM), viz. symmetric complete measurements (SCM), is proposed, and employed to reconstruct the quantum state analytically.
