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Direct estimation of g(2)(0) from click statistics of a multiplexed detector

  • Jaromír Fiurášek
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Abstract

We present and theoretically analyze a method for direct estimation of the second-order correlation function g(2)(0) from the click statistics of a multiplexed detector composed of M binary on-off detection channels. The method uses linear estimators of the first and second moments of the photon-number operator and can provide accurate results even for optical fields with substantial mean photon numbers. For a fixed number of channels, the detection range can be extended by introducing additional losses before the detector. We demonstrate the performance of the method for coherent, thermal, amplitude-squeezed, and photon-added coherent states. We also derive a nonclassicality criterion based on the estimated correlation function and show how the method can be adapted to unbalanced detectors. Our work establishes direct estimation of g(2)(0) as a simple and versatile method for quantitatively characterizing quantum light using multiplexed click detectors.

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Cite

BibTeXRIS
BibTeX
@misc{fiurasek2026direct,
  title = {{Direct estimation of $g^(2)(0)$ from click statistics of a multiplexed detector}},
  author = {Jaromír Fiurášek},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.03040},
  eprint = {2610.03040},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.03040},
}
RIS
TY  - UNPB
TI  - Direct estimation of g^(2)(0) from click statistics of a multiplexed detector
AU  - Jaromír Fiurášek
PY  - 2026
DA  - 2026/10/02
PB  - arXiv
DO  - 10.48550/arxiv.2610.03040
UR  - https://arxiv.org/abs/2610.03040
AB  - We present and theoretically analyze a method for direct estimation of the second-order correlation function g^(2)(0) from the click statistics of a multiplexed detector composed of M binary on-off detection channels. The method uses linear estimators of the first and second moments of the photon-number operator and can provide accurate results even for optical fields with substantial mean photon numbers. For a fixed number of channels, the detection range can be extended by introducing additional losses before the detector. We demonstrate the performance of the method for coherent, thermal, amplitude-squeezed, and photon-added coherent states. We also derive a nonclassicality criterion based on the estimated correlation function and show how the method can be adapted to unbalanced detectors. Our work establishes direct estimation of g^(2)(0) as a simple and versatile method for quantitatively characterizing quantum light using multiplexed click detectors.
ER  -