Quantum hypothesis testing for exoplanet detection

Abstract

Detecting the faint emission of a secondary source in the proximity of the much brighter source has been the most severe obstacle for using direct imaging in searching for exoplanets. Using quantum state discrimination and quantum imaging techniques, we show that one can significantly reduce the probability of error for detecting the presence of a weak secondary source, even when the two sources have small angular separations. If the weak source has relative intensity $\epsilon \ll 1$ to the bright source, we find that the error exponent can be improved by a factor of $1/\epsilon$. We also find the linear-optical measurements that are optimal in this regime. Our result serves as a complementary method in the toolbox of optical imaging, from astronomy to microscopy.

References in corpus (20)

• General Benchmarks for Quantum Repeaters
• Fundamental Limits of Repeaterless Quantum Communications
• Quantum Theory of Superresolution for Two Incoherent Optical Point Sources
• Overcoming the Rayleigh Criterion Limit with Optical Vortices
• Accreting Protoplanets in the LkCa 15 Transition Disk
• A Hierarchy of Information Quantities for Finite Block Length Analysis of Quantum Tasks
• Far-field Superresolution of Thermal Electromagnetic Sources at the Quantum Limit
• Beating Rayleigh's Curse by Imaging Using Phase Information
• Ultimate precision bound of quantum and sub-wavelength imaging
• Second-order asymptotics for quantum hypothesis testing
• Resolving starlight: a quantum perspective
• Gaussian hypothesis testing and quantum illumination
• The quantum limit to incoherent imaging is achieved by linear interferometry
• Quantum-optimal detection of one-versus-two incoherent sources with arbitrary separation
• Quantum-optimal detection of one-versus-two incoherent optical sources with arbitrary separation
• Superresolution Limits from Measurement Crosstalk
• Resolution limits of spatial mode demultiplexing with noisy detection
• Quantum limits of superresolution in a noisy environment
• Subwavelength quantum imaging with noisy detectors
• Renyi relative entropies of quantum Gaussian states

Cited by in corpus (28)

• Optical quantum super-resolution imaging and hypothesis testing
• Identifying Objects at the Quantum Limit for Super-Resolution Imaging
• Single-photon sub-Rayleigh precision measurements of a pair of incoherent sources of unequal intensity
• Imaging stars with quantum error correction
• Spatial-mode-demultiplexing for enhanced intensity and distance measurement
• Quantum noise spectroscopy as an incoherent imaging problem
• Discriminating mixed qubit states with collective measurements
• Ultimate limits of exoplanet spectroscopy: a quantum approach
• Exact quantum sensing limits for bosonic dephasing channels
• Quantum limits of parameter estimation in long-baseline imaging
• Application range of crosstalk-affected spatial demultiplexing for resolving separations between unbalanced sources
• Superresolution imaging of two incoherent optical sources with unequal brightnesses
• Single-photon super-resolved spectroscopy from spatial-mode demultiplexing
• Spectral and temporal metrology with bandlimited functions and finite-time measurements
• Superresolution in separation estimation between two dynamic incoherent sources using spatial demultiplexing
• Quantum Limits on Localizing Point Objects against a Uniformly Bright Disk
• Tight information bounds for spontaneous emission lifetime resolution of quantum sources with varied spectral purity
• Machine learning with sub-diffraction resolution in the photon-counting regime
• Performance advantage of quantum hypothesis testing for partially coherent optical sources
• Quantum resolution limit of long-baseline imaging using distributed entanglement
• Superresolving optical ruler based on spatial mode demultiplexing for systems evolving under Brownian motion
• Performance advantage of discriminating one-versus-two incoherent sources based on quantum hypothesis testing
• Measuring the Oscillation Frequency Beyond the Diffraction Limit
• Superresolving collective quantum measurements
• Quantum-inspired exoplanet detection in the presence of experimental imperfections
• Quantum-limited superresolution of two arbitrary incoherent point sources: beating the resurgence of Rayleigh's curse
• Quantum Limits of Exoplanet Detection and Localization
• Towards Quantum Limited Spatial Resolution of NV-Diamond Magnetometry