论文标题
Kraus运营商数值范围探索的Fidelity操作
Operation fidelity explored by numerical range of Kraus operators
论文作者
论文摘要
当今的量子设备需要精确实施所需的量子通道。为了表征实施质量，人们使用了平均操作Fidelity $ F $，该$ F $被定义为初始纯状态与其图像相对于被分析的操作之间的保真度，平均在纯状态的集合上平均。我们分析了低维通道操作保真度的统计特性，并研究其极值和概率分布，这两者都可用于统计通道歧视。这些结果是在代表通道的KRAUS算子集的联合数值范围内获得的。在某些特定情况下，$ p \左（f \右）的分析表达式在某些情况下得出，包括单一和混合的统一通道以及通勤kraus operators代表的量子图。测量的操作忠诚度分布可用于区分两个量子操作。
Present-day quantum devices require precise implementation of desired quantum channels. To characterize the quality of implementation one uses the average operation fidelity $F$, defined as the fidelity between an initial pure state and its image with respect to the analyzed operation, averaged over an ensemble of pure states. We analyze statistical properties of the operation fidelity for low-dimensional channels and study its extreme values and probability distribution, both of which can be used for statistical channel discrimination. These results are obtained with help of the joint numerical range of the set of Kraus operators representing a channel. Analytic expressions for the density $P\left(F\right)$ are derived in some particular cases including unitary and mixed unitary channels as well as quantum maps represented by commuting Kraus operators. Measured distributions of operation fidelity can be used to distinguish between two quantum operations.
