Superresolution in separation estimation between two dynamic incoherent sources using spatial demultiplexing

• URL: http://arxiv.org/abs/2407.10507v1
• Date: Mon, 15 Jul 2024 07:57:57 GMT
• Title: Superresolution in separation estimation between two dynamic incoherent sources using spatial demultiplexing
• Authors: Konrad Schlichtholz, Łukasz Rudnicki,
• Abstract summary: Recently, perfect measurement based on spatial mode demultiplexing (SPADE) in Hermite-Gauss modes allowed one to reach the quantum limit of precision for estimation of separation between two weak incoherent stationary sources. In this paper, we consider another deviation from the perfect setup by discarding the assumption about the stationarity of the sources. We formulate a measurement algorithm that allows for the reduction of one parameter for estimation in the stationary sources scenario.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Achieving resolution in the sub-Rayleigh regime (superresolution) is one of the rapidly developing topics in quantum optics and metrology. Recently, it was shown that perfect measurement based on spatial mode demultiplexing (SPADE) in Hermite-Gauss modes allows one to reach the quantum limit of precision for estimation of separation between two weak incoherent stationary sources. Since then, different imperfections such as misalignment or crosstalk between modes have been studied to check how this result translates into more realistic experimental setups. In this paper, we consider another deviation from the perfect setup by discarding the assumption about the stationarity of the sources. This is relevant for example for astrophysical applications where planets necessarily orbit around the star. We analyze two examples of dynamics: rotations and oscillations, showing the robustness of the SPADE-based measurement against them. The analysis is based on Fisher information, which allows one to obtain the precision limit through Cram\'er-Rao bound. Furthermore, we formulate a measurement algorithm that allows for the reduction of one parameter for estimation (system orientation angle) in the stationary sources scenario, maintaining the measurement precision despite the lack of knowledge about this parameter.

Related papers

• Superresolving optical ruler based on spatial mode demultiplexing for systems evolving under Brownian motion [0.0]
  We study the impact of Brownian motion of the center of the system of two weak incoherent sources of arbitrary relative brightness on adaptive SPADE measurement precision limits. We find that Rayleigh's curse is present in such a scenario; however, SPADE measurement can outperform perfect direct imaging.
  arXiv  Detail & Related papers  (2024-07-18T17:23:14Z)
• One-Shot Initial Orbit Determination in Low-Earth Orbit [0.49157446832511503]
  State-of-the-art methodologies for initial orbit determination consist of Kalman-type filters. We formulate the problem of initial orbit determination as a Weighted Least Squares. We numerically demonstrate that our estimator is able to attain better accuracy on the state estimation than the trilateration method.
  arXiv  Detail & Related papers  (2023-12-20T11:49:38Z)
• 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)
• Qubit Dynamics beyond Lindblad: Non-Markovianity versus Rotating Wave Approximation [0.0]
  Even subtle effects in the interaction between qubits and environmental degrees of freedom become progressively relevant and experimentally visible. This applies particularly to the timescale separations that are at the basis of the most commonly used numerical simulation platform for qubit operations. We shed light on the questions (i) to which extent it is possible to monitor violations of either of these timescale separations experimentally and (ii) which of them is the most severe to provide highly accurate predictions.
  arXiv  Detail & Related papers  (2023-08-11T09:16:07Z)
• Modeling the space-time correlation of pulsed twin beams [68.8204255655161]
  Entangled twin-beams generated by parametric down-conversion are among the favorite sources for imaging-oriented applications. We propose a semi-analytic model which aims to bridge the gap between time-consuming numerical simulations and the unrealistic plane-wave pump theory.
  arXiv  Detail & Related papers  (2023-01-18T11:29:49Z)
• Information Entropy Initialized Concrete Autoencoder for Optimal Sensor Placement and Reconstruction of Geophysical Fields [58.720142291102135]
  We propose a new approach to the optimal placement of sensors for reconstructing geophysical fields from sparse measurements. We demonstrate our method on the two examples: (a) temperature and (b) salinity fields around the Barents Sea and the Svalbard group of islands. We find out that the obtained optimal sensor locations have clear physical interpretation and correspond to the boundaries between sea currents.
  arXiv  Detail & Related papers  (2022-06-28T12:43:38Z)
• A Model for Multi-View Residual Covariances based on Perspective Deformation [88.21738020902411]
  We derive a model for the covariance of the visual residuals in multi-view SfM, odometry and SLAM setups. We validate our model with synthetic and real data and integrate it into photometric and feature-based Bundle Adjustment.
  arXiv  Detail & Related papers  (2022-02-01T21:21:56Z)
• GELATO: Geometrically Enriched Latent Model for Offline Reinforcement Learning [54.291331971813364]
  offline reinforcement learning approaches can be divided into proximal and uncertainty-aware methods. In this work, we demonstrate the benefit of combining the two in a latent variational model. Our proposed metrics measure both the quality of out of distribution samples as well as the discrepancy of examples in the data.
  arXiv  Detail & Related papers  (2021-02-22T19:42:40Z)
• 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)
• On Projection Robust Optimal Transport: Sample Complexity and Model Misspecification [101.0377583883137]
  Projection robust (PR) OT seeks to maximize the OT cost between two measures by choosing a $k$-dimensional subspace onto which they can be projected. Our first contribution is to establish several fundamental statistical properties of PR Wasserstein distances. Next, we propose the integral PR Wasserstein (IPRW) distance as an alternative to the PRW distance, by averaging rather than optimizing on subspaces.
  arXiv  Detail & Related papers  (2020-06-22T14:35:33Z)
• Quantum probes for universal gravity corrections [62.997667081978825]
  We review the concept of minimum length and show how it induces a perturbative term appearing in the Hamiltonian of any quantum system. We evaluate the Quantum Fisher Information in order to find the ultimate bounds to the precision of any estimation procedure. Our results show that quantum probes are convenient resources, providing potential enhancement in precision.
  arXiv  Detail & Related papers  (2020-02-13T19:35:07Z)

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.