We consider transformation of quantum intensity correlations of light, observed by direct photodetection, by a single-lens temporal imaging scheme with magnification factor $M$. We prove that such an imaging scheme performs noiseless stretching or contraction of the second-order intensity correlation function without deteriorating such nonclassical features as antibunching and sub-Poissonian statistics of the photons. We also evaluate the photocurrent fluctuation spectrum for the photodetection of nonclassical light and show that this temporal imaging scheme performs its noiseless scaling by magnification factor $M$ without adding any noise. We illustrate our results by two examples of nonclassical light sources: sub-Poissonian laser as a continuous-wave macroscopic nonclassical light source exhibiting antibunching and sub-Poissonian statistics of photons and single-photon source as its pulsed counterpart possessing similar nonclassical features. Our results open interesting possibilities for noiseless control of temporal and spectral characteristics of nonclassical light and can find numerous practical applications in quantum optics and quantum information.

中文翻译：

---

反聚束的量子时间成像

我们考虑通过单光子时间成像方案通过直接光检测观察到的光的量子强度相关性的变换，该放大率为$ M $。我们证明了这种成像方案可以执行无噪声的二阶强度相关函数拉伸或收缩，而不会恶化诸如反聚束和光子的亚泊松统计之类的非经典特征。我们还评估了用于非经典光的光检测的光电流波动谱，并表明该时间成像方案通过放大因子$ M $执行其无噪声缩放，而没有添加任何噪声。我们通过两个非经典光源的例子来说明我们的结果：次泊松激光作为连续波宏观非经典光源，其光子具有反聚束和亚泊松统计，单脉冲光子光源具有类似的非经典特征。我们的结果为非经典光的时间和光谱特性的无噪声控制打开了有趣的可能性，并且可以在量子光学和量子信息中找到许多实际应用。