Practical tests for sub-Rayleigh source discriminations with imperfect demultiplexers

Fuente: arXiv
Guardado en:
Detalles Bibliográficos
Autores principales: Schlichtholz, Konrad, Linowski, Tomasz, Walschaers, Mattia, Treps, Nicolas, Rudnicki, Łukasz, Sorelli, Giacomo
Formato: Preprint
Publicado: 2023
Materias:
Acceso en línea:
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
_version_ 1866916112904486912
author Schlichtholz, Konrad
Linowski, Tomasz
Walschaers, Mattia
Treps, Nicolas
Rudnicki, Łukasz
Sorelli, Giacomo
author_facet Schlichtholz, Konrad
Linowski, Tomasz
Walschaers, Mattia
Treps, Nicolas
Rudnicki, Łukasz
Sorelli, Giacomo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2303_02654
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Practical tests for sub-Rayleigh source discriminations with imperfect demultiplexers
Schlichtholz, Konrad
Linowski, Tomasz
Walschaers, Mattia
Treps, Nicolas
Rudnicki, Łukasz
Sorelli, Giacomo
Quantum Physics
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.
title Practical tests for sub-Rayleigh source discriminations with imperfect demultiplexers
topic Quantum Physics
url https://arxiv.org/abs/2303.02654