Attaining quantum limited precision of localizing an object in passive imaging

• URL: http://arxiv.org/abs/2102.02228v3
• Date: Wed, 21 Jul 2021 00:21:30 GMT
• Title: Attaining quantum limited precision of localizing an object in passive imaging
• Authors: Aqil Sajjad, Michael R Grace, Quntao Zhuang, Saikat Guha
• Abstract summary: We investigate the ability to determine the mean position, or centroid, of a linear array of equally-bright incoherent point sources of light. We consider two receivers: an image-plane ideal direct-detection imager and a receiver that employs Hermite-Gaussian (HG) Spatial-mode Demultiplexing (SPADE) in the image plane.
• Score: 1.8237412774861765
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate our ability to determine the mean position, or centroid, of a linear array of equally-bright incoherent point sources of light, whose continuum limit is the problem of estimating the center of a uniformly-radiating object. We consider two receivers: an image-plane ideal direct-detection imager and a receiver that employs Hermite-Gaussian (HG) Spatial-mode Demultiplexing (SPADE) in the image plane, prior to shot-noise-limited photon detection. We compare the Fisher Information (FI) for estimating the centroid achieved by these two receivers, which quantifies the information-accrual rate per photon, and compare those with the Quantum Fisher Information (QFI): the maximum attainable FI by any choice of measurement on the collected light allowed by physics. We find that focal-plane direct imaging is strictly sub-optimal, although not by a large margin. We also find that the HG mode sorter, which is the optimal measurement for estimating the separation between point sources (or the length of a line object) is not only suboptimal, but it performs worse than direct imaging. We study the scaling behavior of the QFI and direct imaging's FI for a continuous, uniformly-bright object in terms of its length, and find that both are inversely proportional to the object's length when it is sufficiently larger than the Rayleigh length. Finally, we propose a two-stage adaptive modal receiver design that attains the QFI for centroid estimation.

Related papers

• Optimal baseline exploitation in vertical dark-matter detectors based on atom interferometry [50.06952271801328]
  Several terrestrial detectors for gravitational waves and dark matter based on long-baseline atom interferometry are currently in the final planning stages or already under construction. We show that resonant-mode detectors based on multi-diamond fountain gradiometers achieve the optimal, shot-noise limited, sensitivity if their height constitutes 20% of the available baseline.
  arXiv  Detail & Related papers  (2023-09-08T08:38:24Z)
• Single-photon sub-Rayleigh precision measurements of a pair of incoherent sources of unequal intensity [0.0]
  We consider single-photon imaging of two point-like emitters of unequal intensity. We employ multi-plane light conversion technology to experimentally implement Hermite-Gaussian spatial-mode demultiplexing.
  arXiv  Detail & Related papers  (2023-09-05T14:58:34Z)
• Vanishing Point Estimation in Uncalibrated Images with Prior Gravity Direction [82.72686460985297]
  We tackle the problem of estimating a Manhattan frame. We derive two new 2-line solvers, one of which does not suffer from singularities affecting existing solvers. We also design a new non-minimal method, running on an arbitrary number of lines, to boost the performance in local optimization.
  arXiv  Detail & Related papers  (2023-08-21T13:03:25Z)
• Quantum limits of parameter estimation in long-baseline imaging [1.0828616610785522]
  We show the origins of the enhancement provided by distributed imaging systems, over and above a single monolithic telescope. We show how quantum-optimal measurements can be realized via beam-combination strategies of two classes.
  arXiv  Detail & Related papers  (2023-05-05T21:05:52Z)
• Super-resolution enhancement in bi-photon spatial mode demultiplexin [0.0]
  Imaging systems measuring intensity in the far field succumb to Rayleigh's curse, a resolution limitation dictated by the finite aperture of the optical system. Many proof-of-principle and some two-dimensional imaging experiments have shown that, by using spatial mode demultiplexing (SPADE), the field information collected is maximal.
  arXiv  Detail & Related papers  (2022-12-20T17:40:46Z)
• Fast Beam Alignment via Pure Exploration in Multi-armed Bandits [91.11360914335384]
  We develop a bandit-based fast BA algorithm to reduce BA latency for millimeter-wave (mmWave) communications. Our algorithm is named Two-Phase Heteroscedastic Track-and-Stop (2PHT&S)
  arXiv  Detail & Related papers  (2022-10-23T05:57:39Z)
• Leveraging Spatial and Photometric Context for Calibrated Non-Lambertian Photometric Stereo [61.6260594326246]
  We introduce an efficient fully-convolutional architecture that can leverage both spatial and photometric context simultaneously. Using separable 4D convolutions and 2D heat-maps reduces the size and makes more efficient.
  arXiv  Detail & Related papers  (2021-03-22T18:06:58Z)
• Quantum-limited Localisation and Resolution in Three Dimensions [10.824994978916815]
  We determine the ultimate potential of quantum-limited imaging for improving the resolution of a far-field, diffraction-limited approximation. Our results give the upper bounds on certain far-field imaging technology and will find wide applications from microscopy to astrometry.
  arXiv  Detail & Related papers  (2020-12-09T14:44:56Z)
• Correlation Plenoptic Imaging between Arbitrary Planes [52.77024349608834]
  We show that the protocol enables to change the focused planes, in post-processing, and to achieve an unprecedented combination of image resolution and depth of field. Results lead the way towards the development of compact designs for correlation plenoptic imaging devices based on chaotic light, as well as high-SNR plenoptic imaging devices based on entangled photon illumination.
  arXiv  Detail & Related papers  (2020-07-23T14:26:14Z)
• A Single Stream Network for Robust and Real-time RGB-D Salient Object Detection [89.88222217065858]
  We design a single stream network to use the depth map to guide early fusion and middle fusion between RGB and depth. This model is 55.5% lighter than the current lightest model and runs at a real-time speed of 32 FPS when processing a $384 times 384$ image.
  arXiv  Detail & Related papers  (2020-07-14T04:40:14Z)
• Quantum Limited Source Localization and Pair Superresolution under Finite Emission Bandwidth [0.0]
  We show how rapidly $alpha$ must increase with increasing width of a flat-top spectral profile of emission of a point source being localized in two dimensions by an imager. We also consider generalizations to emission power spectra of arbitrary profiles.
  arXiv  Detail & Related papers  (2020-06-01T14:43:06Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.