Title: Probability and fidelity of teleportation in a two-mode continuous variable cluster state via an insufficiently selective measurement Show Chinese title

Title: 通过选择性不足的测量实现两模连续变量簇态中的量子态传输的概率和保真度

Abstract: Continuous-variable projective measurements can not select individual measurement results as in the discrete case; instead, the possible outcomes are bounded by the selectivity interval of the measurement; then, it is say that continuous-variable measurement devices are insufficiently selective. By utilizing this concept we show that the probability and fidelity of teleportation in a two-mode cluster state can be handled by the localization of the selectivity interval of the measurement apparatus. Besides, we provide a mathematical expression describing the probability distribution of the measurement outcomes in the two-mode cluster, which is a fundamental solution of the heat equation. In addition, we show that the fidelity of teleportation in the two mode cluster is given by the quotient between the squared solution of a non-homogeneous heat equation and the solution of the conventional heat equation. Furthermore, we extend our approach to a configuration involving successive clusters with intermediate corrections between each teleportation step. To exemplify our proposal, we consider the specific case of a squeezed-coherent state as the quantum state under teleportation. Show Chinese abstract

Abstract: 连续变量的投影测量不能像离散情况那样选择单独的测量结果；相反，可能的结果被测量的选取区间所限制；因此，可以说连续变量测量设备的选择性不足。 通过利用这一概念，我们表明，在两模簇态中的量子隐形传态的概率和保真度可以通过测量装置的选取区间的定位来处理。 此外，我们提供了一个数学表达式，描述了两模簇态中测量结果的概率分布，这是热方程的基本解。 另外，我们表明，两模簇态中的隐形传态保真度是由非齐次热方程的平方解与常规热方程的解之间的商给出的。 此外，我们将我们的方法扩展到涉及连续簇态并在每次隐形传态步骤之间有中间修正的配置。 为了说明我们的提议，我们考虑了作为隐形传态下的量子态的压缩相干态的具体情况。