Super-Resolution Imaging with Multiparameter Quantum Metrology in Passive Remote Sensing

Abstract

We study super-resolution imaging theoretically using a distant n-mode interferometer in the microwave regime for passive remote sensing, used e.g., for satellites like the "soil moisture and ocean salinity (SMOS)" mission to observe the surface of the Earth. We give a complete quantum mechanical analysis of multiparameter estimation of the temperatures on the source plane. We find the optimal detection modes by combining incoming modes with an optimized unitary that enables the most informative measurement based on photon counting in the detection modes and saturates the quantum Cramér-Rao bound from the symmetric logarithmic derivative for the parameter set of temperatures. In our numerical analysis, we achieved a quantum-enhanced super-resolution by reconstructing an image using the maximum likelihood estimator with a pixel size of 3 km, which is ten times smaller than the spatial resolution of SMOS with comparable parameters. Further, we find the optimized unitary for uniform temperature distribution on the source plane, with the temperatures corresponding to the average temperatures of the image. Even though the corresponding unitary was not optimized for the specific image, it still gives a super-resolution compared to local measurement scenarios for the theoretically possible maximum number of measurements.

References in corpus (8)

• Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
• Optimal measurements for simultaneous quantum estimation of multiple phases
• Multiparameter Quantum Metrology of Incoherent Point Sources: Towards Realistic Superresolution
• Subdiffraction incoherent optical imaging via spatial-mode demultiplexing
• Precision measurements with photon-subtracted or photon-added Gaussian states
• Bounds on Quantum Multiple-Parameter Estimation with Gaussian State
• Estimating phase with a random generator: Strategies and resources in multiparameter quantum metrology
• Sub-Rayleigh characterization of a binary source by spatially demultiplexed coherent detection

Cited by in corpus (8)

• Review: Quantum Metrology and Sensing with Many-Body Systems
• Enhancing Gaussian quantum metrology with position-momentum correlations
• Model-aware reinforcement learning for high-performance Bayesian experimental design in quantum metrology
• Superresolution imaging of two incoherent sources via two-photon interference sampling measurements in the transverse momenta
• Applications of model-aware reinforcement learning in Bayesian quantum metrology
• Interferometric Mass Photometry at the Quantum Limit of Sensitivity
• Quantum-limited superresolution of two arbitrary incoherent point sources: beating the resurgence of Rayleigh's curse
• Temperature and non-Markovian parameter estimation in quantum Brownian motion