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Establishing bounds on the accuracy achievable by localization techniques represents a fundamental technical issue. Bounds on localization accuracy have been derived for cases in which the position of an agent is estimated on the basis of a…

Information Theory · Computer Science 2013-03-12 Francesco Montorsi , Santiago Mazuelas , Giorgio M. Vitetta , Moe Z. Win

Quantum optical metrology aims to identify ultimate sensitivity bounds for the estimation of parameters encoded into quantum states of the electromagnetic field. In many practical applications, including imaging, microscopy, and remote…

Quantum Physics · Physics 2023-02-15 Giacomo Sorelli , Manuel Gessner , Nicolas Treps , Mattia Walschaers

Point source localization is a problem of persistent interest in optical imaging. In particular, a number of widely used biological microscopy techniques rely on precise three-dimensional localization of single fluorophores. As emitter…

Optics · Physics 2018-07-13 Mikael P. Backlund , Yoav Shechtman , Ronald L. Walsworth

Atom localization enables a high-precision imaging of the atomic position, which has provided vast applications in fundamental and applied science. In the present work, we propose a scheme for realizing two-dimensional off-axis atom…

Quantum Physics · Physics 2022-06-23 Ning Jia , Xing-Dong Zhao , Wen-Rong Qi , Jing Qian

Quantum illumination is to discern the presence or absence of a low reflectivity target, where the error probability decays exponentially in the number of copies used. When the target reflectivity is small so that it is hard to distinguish…

Quantum Physics · Physics 2023-07-10 Dong Hwan Kim , Yonggi Jo , Duk Y. Kim , Taek Jeong , Jihwan Kim , Nam Hun Park , Zaeill Kim , Su-Yong Lee

We show that localisation microscopy of multiple weak, incoherent point sources with possibly different intensities in one spatial dimension is equivalent to estimating the amplitudes of a classical mixture of coherent states of a simple…

Quantum Physics · Physics 2020-02-17 Evangelia Bisketzi , Dominic Branford , Animesh Datta

This paper describes computationally efficient approaches and associated theoretical performance guarantees for the detection of known targets and anomalies from few projection measurements of the underlying signals. The proposed approaches…

Statistics Theory · Mathematics 2015-06-03 Kalyani Krishnamurthy , Rebecca Willett , Maxim Raginsky

Using continuous wave superposition of spatial modes, we demonstrate experimentally displacement measurement of a light beam below the standard quantum limit. Multimode squeezed light is obtained by mixing a vacuum squeezed beam and a…

Quantum Physics · Physics 2009-11-07 N. Treps , U. Andersen , B. Buchler , P. K. Lam , A. Maitre , H. -A. Bachor , C. Fabre

Object detection is a famous branch of research in computer vision, many state of the art object detection algorithms have been introduced in the recent past, but how good are those object detectors when it comes to dense object detection?…

Computer Vision and Pattern Recognition · Computer Science 2020-05-01 Sonaal Kant

In modern theoretical analyses of neural networks, the infinite-width limit is often invoked to justify Gaussian approximations of neuron preactivations (e.g., via neural network Gaussian processes or Tensor Programs). However, these…

Machine Learning · Computer Science 2026-01-05 Mana Sakai , Ryo Karakida , Masaaki Imaizumi

Identification, and subsequent quantification of quantum correlations, is critical for understanding, controlling, and engineering quantum devices and processes. We derive and implement a general method to quantify various forms of quantum…

Quantum Physics · Physics 2023-02-09 Artur Barasinski , Jan Perina , Antonin Cernoch

Conventional light focusing, i. e. concentration of an extended optical field within a small area around a point, is a frequently used process in Optics. An important extension to conventional focusing is the generation of the annular focal…

The signal half of an entangled twin-beam, generated using spontaneous parametric downconversion, interrogates a region of space that is suspected of containing a target, and has high loss and high (entanglement-breaking) background noise.…

Quantum Physics · Physics 2009-11-11 Saikat Guha , Baris I. Erkmen

A new method is proposed to get image features' geometric information. Using Gaussian as an input signal, a theoretical optimal solution to calculate feature's affine shape is proposed. Based on analytic result of a feature model, the…

Computer Vision and Pattern Recognition · Computer Science 2015-03-19 Xiaopeng Xu , Xiaochun Zhang

Beam displacement measurements are widely used in optical sensing and communications; however, their performance is affected by numerous intrinsic and extrinsic factors including beam profile, propagation loss, and receiver architecture.…

Optics · Physics 2025-03-11 Wenhua He , Christos N. Gagatsos , Dalziel J. Wilson , Saikat Guha

The possibility of focusing light to an ever tighter spot has important implications for many applications and fields of optics research, such as nano-optics and plasmonics, laser-scanning microscopy, optical data storage and many more. The…

Active perception and foveal vision are the foundations of the human visual system. While foveal vision reduces the amount of information to process during a gaze fixation, active perception will change the gaze direction to the most…

Computer Vision and Pattern Recognition · Computer Science 2022-08-25 Alexandre M. F. Dias , Luís Simões , Plinio Moreno , Alexandre Bernardino

In the field of state-of-the-art object detection, the task of object localization is typically accomplished through a dedicated subnet that emphasizes bounding box regression. This subnet traditionally predicts the object's position by…

Computer Vision and Pattern Recognition · Computer Science 2023-07-20 Peng Zhi , Haoran Zhou , Hang Huang , Rui Zhao , Rui Zhou , Qingguo Zhou

Gaussian beams are asymptotically valid high frequency solutions to hyperbolic partial differential equations, concentrated on a single curve through the physical domain. They can also be extended to some dispersive wave equations, such as…

Numerical Analysis · Mathematics 2011-06-03 Hailiang Liu , Olof Runborg , Nicolay M. Tanushev

We studied both theoretically and experimentally the intensity distribution of a Gaussian laser beam when it was focussed by an objective lens with its numerical-aperture (NA) up to 0.95. Approximate formulae for full widths at half maximum…