论文标题
玻感状态的阈值检测统计
Threshold detection statistics of bosonic states
论文作者
论文摘要
在量子光子学中，阈值探测器，区分真空和一个或多个光子，例如超导纳米线和雪崩光电二极管，通常用于测量光线和高斯光线。尽管是标准的测量方案，但除非接受粗近似或组合缩放总结，否则没有阈值检测器的测量概率的一般闭合形式表达。在这里，我们提出新的矩阵函数以填补此空白。我们分别开发了Bristolian和Loop多伦多函数，分别用于对Fock和流离失所的高斯状态的阈值检测，并将它们彼此连接到现有的矩阵函数。通过为大多数光的量子状态提供统一的骨气统计图，我们为光子量子技术的设计和分析提供了新颖的工具。
In quantum photonics, threshold detectors, distinguishing between vacuum and one or more photons, such as superconducting nanowires and avalanche photodiodes, are routinely used to measure Fock and Gaussian states of light. Despite being the standard measurement scheme, there is no general closed form expression for measurement probabilities with threshold detectors, unless accepting coarse approximations or combinatorially scaling summations. Here, we present new matrix functions to fill this gap. We develop the Bristolian and the loop Torontonian functions for threshold detection of Fock and displaced Gaussian states, respectively, and connect them to each other and to existing matrix functions. By providing a unified picture of bosonic statistics for most quantum states of light, we provide novel tools for the design and analysis of photonic quantum technologies.
