论文标题
量子噪声光谱作为不连贯的成像问题
Quantum noise spectroscopy as an incoherent imaging problem
论文作者
论文摘要
我指出了我的小组在量子启发的上分辨率[Tsang，Nair和Lu的研究中提出的不相互成像模型之间的数学对应关系，物理评论X 6，031033（2016）]和噪声光谱模型也提出了我们[Tsang和Nair，Tsang和Nair，物理评论A 86，042115（2012）; Ng等人，物理评论A 93，042121（2016）]。两者都可以视为随机位移模型，其中随机位移的概率度量取决于未知参数。提出的用于成像的空间模式消除方法（Spade）方法类似于Ng等人中提出的光谱光子计数方法。 （2016年）对于光相噪声光谱 - 两种方法都是可离散的可变量测量值，它优于直接位移测量（直接成像或同伴检测），并且可以达到相应的量子限制。受锹的启发，我提出了在挤压输入场时进行光谱光子计数的修改 - 只需在光谱光子计数之前取消测量输出场即可。我表明，该方法是量子优越的，并且在参数估计和检测中都优于同源性检测，因此解决了Tsang和Nair（2012）和Ng等人的开放问题。 （2016）。
I point out the mathematical correspondence between an incoherent imaging model proposed by my group in the study of quantum-inspired superresolution [Tsang, Nair, and Lu, Physical Review X 6, 031033 (2016)] and a noise spectroscopy model also proposed by us [Tsang and Nair, Physical Review A 86, 042115 (2012); Ng et al., Physical Review A 93, 042121 (2016)]. Both can be regarded as random displacement models, where the probability measure for the random displacement depends on unknown parameters. The spatial-mode demultiplexing (SPADE) method proposed for imaging is analogous to the spectral photon counting method proposed in Ng et al. (2016) for optical phase noise spectroscopy -- Both methods are discrete-variable measurements that are superior to direct displacement measurements (direct imaging or homodyne detection) and can achieve the respective quantum limits. Inspired by SPADE, I propose a modification of spectral photon counting when the input field is squeezed -- simply unsqueeze the output field before spectral photon counting. I show that this method is quantum-optimal and far superior to homodyne detection for both parameter estimation and detection, thus solving the open problems in Tsang and Nair (2012) and Ng et al. (2016).
