Practical tests for sub-Rayleigh source discriminations with imperfect demultiplexers

• URL: http://arxiv.org/abs/2303.02654v1
• Date: Sun, 5 Mar 2023 12:06:05 GMT
• Title: Practical tests for sub-Rayleigh source discriminations with imperfect demultiplexers
• Authors: Konrad Schlichtholz, Tomasz Linowski, Mattia Walschaers, Nicolas Treps, {\L}ukasz Rudnicki and Giacomo Sorelli
• Abstract summary: We show that for any, no matter how small, imperfections of the demultiplexer, this simple statistical test becomes practically useless. We propose a simple semi-separation-independent test, which provides a method for designing reliable experiments.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum-optimal discrimination between one and two closely separated light sources can be achieved by ideal spatial-mode demultiplexing, simply monitoring whether a photon is detected in a single antisymmetric mode. However, we show that for any, no matter how small, imperfections of the demultiplexer, this simple statistical test becomes practically useless, i.e. as good as flipping a coin. While we identify a class of separation-independent tests with vanishing error probabilities in the limit of large numbers of detected photons, they are generally unreliable beyond that very limit. As a practical alternative, we propose a simple semi-separation-independent test, which provides a method for designing reliable experiments, through arbitrary control over the maximal probability of error.

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