Robust and bias-free localization of individual fixed dipole emitters achieving the Cramér Rao bound

Transmission Estimation at the Cramér-Rao Bound for Squeezed States of Light in the Presence of Loss and Imperfect Detection

Enhancing the precision of a measurement requires maximizing the information that can be gained about the quantity of interest from probing a system. For optical based measurements, such an enhancement can be achieved through two approaches, increasing the number of photons used to interrogate the system and using quantum states of light to increase the amount of quantum Fisher information gained per photon. Here we consider the use of quantum states of light with a large number of photons, namely the bright single-mode and two-mode squeezed states, that take advantage of both of these approac…

复杂介质中深度学习显微镜的无模型 Cramér-Rao 界估计

Model-free estimation of the Cramér-Rao bound for deep-learning microscopy in complex media

针对复杂散射介质中信息恢复的精度极限问题，提出无模型计算 Cramér-Rao 界的方法，并通过实验证明卷积网络在定位隐藏目标时逼近该极限，为深度学习显微镜性能基准测试提供通用方法。

Transmission Estimation at the Fundamental Quantum Cramér-Rao Bound with Macroscopic Quantum Light

The field of quantum metrology seeks to apply quantum techniques and/or resources to classical sensing approaches with the goal of enhancing the precision in the estimation of a parameter beyond what can be achieved with classical resources. Theoretically, the fundamental minimum uncertainty in the estimation of a parameter for a given probing state is bounded by the quantum Cramér-Rao bound. From a practical perspective, it is necessary to find physical measurements that can saturate this fundamental limit and to show experimentally that it is possible to perform measurements with the require…

Cramér-Rao analysis of lifetime estimations in time-resolved fluorescence microscopy

Measuring the lifetime of fluorescent emitters by time-correlated single photon counting (TCSPC) is a routine procedure in many research areas spanning from nanophotonics to biology. The precision of such measurement depends on the number of detected photons but also on the various sources of noise arising from the measurement process. Using Fisher information theory, we calculate the lower bound on the precision of lifetime estimations for mono-exponential and bi-exponential distributions. We analyse the dependence of the lifetime estimation precision on experimentally relevant parameters, in…