Skip to Main content Skip to Navigation
Journal articles

Explicit formulas for photon number discrimination with on/off detectors

Abstract : Discriminating between Fock states with a high degree of accuracy is a desirable feature for modern applications of optical quantum information processing. A well-known alternative to sophisticated photon number discriminating detectors is to split the field among a number of simple on/off detectors and infer the desired quantity from the measurement results. In this work we find an explicit analytical expression of the detection probability for any number of input photons, any number of on/off detectors, and we include quantum efficiency and a false count probability. This allows us to explicitly invert the conditional probability using Bayes' theorem and express the number of photons that we had at the input in the most unbiased way possible with ready-to-use formulas. We conclude with some examples.
Complete list of metadatas

Cited literature [34 references]  Display  Hide  Download

https://hal.telecom-paris.fr/hal-02417959
Contributor : Filippo Miatto <>
Submitted on : Wednesday, January 8, 2020 - 10:34:14 AM
Last modification on : Wednesday, June 24, 2020 - 4:19:56 PM
Document(s) archivé(s) le : Thursday, April 9, 2020 - 12:35:51 PM

File

miatto2018.pdf
Publisher files allowed on an open archive

Identifiers

Citation

Filippo Miatto, Akbar Safari, Robert Boyd. Explicit formulas for photon number discrimination with on/off detectors. Applied optics, Optical Society of America, 2018, 57 (23), pp.6750. ⟨10.1364/AO.57.006750⟩. ⟨hal-02417959⟩

Share

Metrics

Record views

43

Files downloads

104