论文标题
量子限制的定位和三个维度的分辨率
Quantum-limited Localisation and Resolution in Three Dimensions
论文作者
论文摘要
作为从光学系统中提取信息的方法，可以将成像视为参数估计问题。定位一个发射极或估计两个不连贯的发射器之间的分离的基本精度下面由多参数量子cramer-rao结合（qCRB）.multiparameter QCRB在参数估计中具有内在结合。我们确定了量子限制成像的最终潜力，以改善远远近似值内衍射限制的远场分辨率。我们表明，关于一个发射极位置的量子Fisher信息矩阵（QFIM）独立于其真实值。我们计算了两个不平等的发射器的相对位置和强度的QFIM，结果表明，只有在两个点源的相对强度和质心（包括纵向和横向方向）的相对强度和质心时，才能准确地知道不同方向上的分离，以有限的精确性同时估计。我们的结果为某些远场成像技术提供了上限，并将找到从显微镜到天文统计的广泛应用。
As a method to extract information from optical system, imaging can be viewed as a parameter estimation problem. The fundamental precision in locating one emitter or estimating the separation between two incoherent emitters is bounded below by the multiparameter quantum Cramer-Rao bound (QCRB).Multiparameter QCRB gives an intrinsic bound in parameter estimation. We determine the ultimate potential of quantum-limited imaging for improving the resolution of a far-field, diffraction-limited within the paraxial approximation. We show that the quantum Fisher information matrix (QFIm) about one emitter's position is independent on the true value of it. We calculate the QFIm of two unequal-brightness emitters' relative positions and intensities, the results show that only when the relative intensity and centroids of two point sources including longitudinal and transverse direction are known exactly, the separation in different directions can be estimated simultaneously with finite precision. Our results give the upper bounds on certain far-field imaging technology and will find wide applications from microscopy to astrometry.
