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

Year: 2024

Authors: Allemand M., Jannin R., Dupuy G., Bureik J.P., Pezzè L., Boiron D., Clyment D.

Autors Affiliation: Univ Paris Saclay, Inst Opt Grad Sch, CNRS, Lab Charles Fabry, F-91127 Palaiseau, France; CNR, Ist Nazl Ott, Largo Enrico Fermi 6, I-50125 Florence, Italy; European Lab Nonlinear Spect LENS, Via N Carrara 1, I-50019 Sesto Fiorentino, Italy; Quantum Sci & Technol ARcetri QSTAR, Largo Enrico Fermi 2, I-50125 Florence, Italy.

Abstract: 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.

Journal/Review: PRX QUANTUM

Volume: 5 (4)      Pages from: 40324-1  to: 40324-11

More Information: We thank Thomas Chalopin and the members of the Quantum Gas group at Institut d’Optique for insightful discussions. We acknowledge financial support from the Region Ile-de-France in the framework of the Domaine d’interet majeur Science et Ingenierie en Region Ile-de-France pour les TEchnologies Quantiques (DIM SIRTEQ) , the Fondation d’entreprise iXcore pour la Recherche, the French National Research Agency (Grant No. ANR-17-CE30-0020-01) , and the France 2030 programs of the French National Research Agency (Grant No. ANR-22-PETQ-0004) .
KeyWords: Quantum; Algorithm
DOI: 10.1103/PRXQuantum.5.040324