Optimal measurements for quantum spatial superresolution

Abstract

We construct optimal measurements, achieving the ultimate precision predicted by quantum theory, for the simultaneous estimation of centroid, separation, and relative intensities of two incoherent point sources using a linear optical system. We discuss the physical feasibility of the scheme, which could pave the way for future practical implementations of quantum inspired imaging.

7 pages. 3 color figures. Title changed

References in corpus (7)

• Multi-parameter estimation in networked quantum sensors
• Optimal measurements for simultaneous quantum estimation of multiple phases
• Multiparameter Quantum Metrology of Incoherent Point Sources: Towards Realistic Superresolution
• A modern description of Rayleigh's criterion
• Fisher information for far-field linear optical superresolution via homodyne or heterodyne detection in a higher-order local oscillator mode
• On superresolution imaging as a multiparameter estimation problem
• Cavity-aided quantum parameter estimation in a bosonic double-well Josephson junction

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