Freiburg 2019 – scientific programme
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FM: Fall Meeting
FM 62: Poster: Open and Complex Quantum Systems
FM 62.6: Poster
Wednesday, September 25, 2019, 16:30–18:30, Tents
Fisher information of single-photon emitters and thermal light sources in the far field without an imaging system — •Manuel Bojer1, Anton Classen1,2, and Joachim von Zanthier1 — 1Institut für Optik, Information und Photonik, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), 91058 Erlangen, Germany — 2Institute for Quantum Science and Engineering Texas A&M University, College Station, TX 77843, USA
Rayleigh's criterion states that two light sources are unresolvable close to each other if their images, blurred by diffraction, overlap significantly. However, via quantum estimation theory it could be shown that even for small distances there should be in principle information about the source separation available. We here explicitly calculate the quantum Fisher information for two single-photon emitters emitting photons into the far field without an imaging system. We show that for distinguishable photons emitted by two sources of equal intensity the available information as a function of their separation is constant. We also introduce an optimal measurement basis, namely new orthogonalized spherical harmonics, in order to extract the information. Additionally for two thermal light sources we calculate the Fisher information of various measurement schemes including multi-photon measurements and compare them to the quantum Fisher information.