Abstract
Multiparameter estimation theory offers a general framework to explore imaging techniques beyond the Rayleigh limit. While optimal measurements of single parameters characterizing a composite light source are now well understood, simultaneous determination of multiple parameters poses a much greater challenge that in general requires implementation of collective measurements. Here we show, theoretically and experimentally, that Hong-Ou-Mandel interference followed by spatially resolved detection of photons provides precise information on both the separation and the centroid for a pair of point emitters, avoiding trade-offs inherent to single-photon measurements.
Highlights
Multiparameter quantum estimation emerges as a general framework to optimize information retrieval in a variety of experimental scenarios
A deeper insight rooted in the multiparameter estimation theory reveals a possible solution of the above incompatibility problem
In this Letter, we exploit the advantages offered by the multiphoton interference approach, demonstrating a twophoton (2P) protocol for imaging of two point sources, where the centroid estimation is performed in the optimal way, and at the same time the sources’ separation parameter is estimated with a superresolution precision
Summary
Multiparameter quantum estimation emerges as a general framework to optimize information retrieval in a variety of experimental scenarios. Theoretically and experimentally, that Hong-Ou-Mandel interference followed by spatially resolved detection of photons provides precise information on both the separation and the centroid for a pair of point emitters, avoiding trade-offs inherent to single-photon measurements.
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