参数解耦的量子超分辨，无需多参数估计
Parameter-Decoupled Quantum Superresolution without Multiparameter Estimation
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中文总结 AI 辅助
本文提出一种参数解耦测量方法，无需估计亮度失衡等干扰参数即可确定现实无源光源间距，并通过四参数量子费舍尔信息分析构建仅依赖间距的可测量不变量，在亚瑞利区域渐近达到量子极限，将多参数成像转化为单参数测量。
中文摘要 AI 辅助
量子超分辨有望突破衍射极限分辨紧密排列的光源，但现有方法通常依赖于理想化的光源特性，或需要对现实光源的多个耦合参数进行同时估计。本文提出一种参数解耦测量方法，可在不估计未知亮度失衡、互相干性或相对相位的情况下，确定现实无源光源的间距。完整的四参数量子费舍尔信息分析识别出在这些干扰参数存在时仍可访问的间距信息。我们进而从投影通道构造了一个可直接测量的对数概率不变量，其条件统计量仅依赖于间距。广泛的通道对类别满足由此产生的解耦条件。对于高斯点扩散函数，最低阶实现渐近达到亚瑞利区域每个入射信号的四参数量子极限。该方法将现实的多参数成像问题转化为操作上单参数的测量，为无源空间、时间和光谱信号的量子增强分辨提供了实用途径。
英文摘要
Quantum superresolution promises to resolve closely spaced sources beyond the diffraction limit, but existing approaches generally rely on idealized source properties or require simultaneous estimation of multiple coupled parameters of realistic sources. Here we introduce a parameter-decoupled measurement that determines the separation of realistic passive sources without estimating their unknown brightness imbalance, mutual coherence, or relative phase. A complete four-parameter quantum Fisher information analysis identifies the separation information that remains accessible in the presence of these nuisance parameters. We then construct a directly measurable log-probability invariant from projection channels whose conditional statistics depend only on the separation. Broad classes of channel pairs satisfy the resulting decoupling condition. For a Gaussian point-spread function, the lowest-order implementation asymptotically attains the four-parameter quantum limit per incident signal in the sub-Rayleigh regime. This approach converts a realistic multiparameter imaging problem into an operationally single-parameter measurement, providing a practical route toward quantum-enhanced resolution of passive spatial, temporal, and spectral signals.
发表机构
- Stevens Institute of Technology（史蒂文斯理工学院）
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