论文标题
量子通道的不确定性通过修改的广义方差和经过改进的广义wigner-yanase-dyson偏斜信息
Uncertainty of quantum channels via modified generalized variance and modified generalized Wigner-Yanase-Dyson skew information
论文作者
论文摘要
不确定性关系是量子力学和量子信息理论中的一个基本问题。通过使用修改的广义方差（MGV），并修改了广义的Wigner-yanase-dyson偏斜信息（MGWYD），我们确定了量子通道的总和不确定性。详细探讨了量子通道的总不确定性的优雅特性。此外，我们提出了量子通道的总不确定性与纠缠忠诚度之间的权衡关系，并建立了总不确定性与熵交换/相干信息之间的关系。给出了总不确定性的明确公式和量子通道的量子不确定性。此外，通过使用Nirala等人提出的Mach-Zehnder干涉仪，利用可实现的实验测量方案。 （Phys Rev A 99：022111，2019），我们讨论如何测量纯状态的量子通道的总/量子不确定性。
Uncertainty relation is a fundamental issue in quantum mechanics and quantum information theory. By using modified generalized variance (MGV), and modified generalized Wigner-Yanase-Dyson skew information (MGWYD), we identify the total and quantum uncertainty of quantum channels. The elegant properties of the total uncertainty of quantum channels are explored in detail. In addition, we present a trade-off relation between the total uncertainty of quantum channels and the entanglement fidelity and establish the relationships between the total uncertainty and entropy exchange/coherent information. Detailed examples are given to the explicit formulas of the total uncertainty and the quantum uncertainty of quantum channels. Moreover, utilizing a realizable experimental measurement scheme by using the Mach-Zehnder interferometer proposed in Nirala et al. (Phys Rev A 99:022111, 2019), we discuss how to measure the total/quantum uncertainty of quantum channels for pure states.
