Tomography of a Spatially Resolved Single-Atom Detector in the Presence of Shot-to-Shot Number Fluctuations

The tomography of single-particle-resolved detectors is of primary importance for characterizing particle correlations, with applications in quantum metrology, quantum simulation, and quantum computing. However, it is a nontrivial task in practice due to the uncertainties on the statistics of the st...

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Main Authors: Maxime Allemand, Raphael Jannin, Géraud Dupuy, Jan-Philipp Bureik, Luca Pezzè, Denis Boiron, David Clément
Format: Article
Language:English
Published: American Physical Society 2024-11-01
Series:PRX Quantum
Online Access:http://doi.org/10.1103/PRXQuantum.5.040324
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author Maxime Allemand
Raphael Jannin
Géraud Dupuy
Jan-Philipp Bureik
Luca Pezzè
Denis Boiron
David Clément
author_facet Maxime Allemand
Raphael Jannin
Géraud Dupuy
Jan-Philipp Bureik
Luca Pezzè
Denis Boiron
David Clément
author_sort Maxime Allemand
collection DOAJ
description The tomography of single-particle-resolved detectors is of primary importance for characterizing particle correlations, with applications in quantum metrology, quantum simulation, and quantum computing. However, it is a nontrivial task in practice due to the uncertainties on the statistics of the state impinging on the detector and to the unavoidable presence of noise that affects the measurement but does not originate from the detector. In this work, we address this problem for a three-dimensional single-atom-resolved detector where shot-to-shot atom-number fluctuations are a central issue in performing a quantum detector tomography. We overcome this difficulty by exploiting the parallel measurement of the counting statistics in subvolumes of the detector, from which we evaluate the effect of shot-to-shot fluctuations and perform a local tomography of the detector. In addition, we illustrate the validity of our method from applying it to Gaussian quantum states with different number statistics. Finally, we show that the response of microchannel plate detectors is well described by using a binomial distribution with the detection efficiency as a single parameter.
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spelling doaj-art-fbce73c9557f42e3b0bbb1f192a50ebb2024-11-13T15:10:54ZengAmerican Physical SocietyPRX Quantum2691-33992024-11-015404032410.1103/PRXQuantum.5.040324Tomography of a Spatially Resolved Single-Atom Detector in the Presence of Shot-to-Shot Number FluctuationsMaxime AllemandRaphael JanninGéraud DupuyJan-Philipp BureikLuca PezzèDenis BoironDavid ClémentThe tomography of single-particle-resolved detectors is of primary importance for characterizing particle correlations, with applications in quantum metrology, quantum simulation, and quantum computing. However, it is a nontrivial task in practice due to the uncertainties on the statistics of the state impinging on the detector and to the unavoidable presence of noise that affects the measurement but does not originate from the detector. In this work, we address this problem for a three-dimensional single-atom-resolved detector where shot-to-shot atom-number fluctuations are a central issue in performing a quantum detector tomography. We overcome this difficulty by exploiting the parallel measurement of the counting statistics in subvolumes of the detector, from which we evaluate the effect of shot-to-shot fluctuations and perform a local tomography of the detector. In addition, we illustrate the validity of our method from applying it to Gaussian quantum states with different number statistics. Finally, we show that the response of microchannel plate detectors is well described by using a binomial distribution with the detection efficiency as a single parameter.http://doi.org/10.1103/PRXQuantum.5.040324
spellingShingle Maxime Allemand
Raphael Jannin
Géraud Dupuy
Jan-Philipp Bureik
Luca Pezzè
Denis Boiron
David Clément
Tomography of a Spatially Resolved Single-Atom Detector in the Presence of Shot-to-Shot Number Fluctuations
PRX Quantum
title Tomography of a Spatially Resolved Single-Atom Detector in the Presence of Shot-to-Shot Number Fluctuations
title_full Tomography of a Spatially Resolved Single-Atom Detector in the Presence of Shot-to-Shot Number Fluctuations
title_fullStr Tomography of a Spatially Resolved Single-Atom Detector in the Presence of Shot-to-Shot Number Fluctuations
title_full_unstemmed Tomography of a Spatially Resolved Single-Atom Detector in the Presence of Shot-to-Shot Number Fluctuations
title_short Tomography of a Spatially Resolved Single-Atom Detector in the Presence of Shot-to-Shot Number Fluctuations
title_sort tomography of a spatially resolved single atom detector in the presence of shot to shot number fluctuations
url http://doi.org/10.1103/PRXQuantum.5.040324
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