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On the Poisson Approximation to Photon Distribution for Faint Lasers

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Yucheng Hu, Xiang Peng, Tiejun Li, Hong Guo

Mathematical Physics · Submitted 23 Sep 2006

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim It is proved, that for a certain kind of input distribution, the strongly binomially attenuated photon number distribution can well be approximated by a Poisson distribution.

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arXiv IDmath-ph/0609063 (version 1)
Pith IDIOOW5UEK, Pith's permanent record of this paper and its review
CitationHong Guo, Tiejun Li, Xiang Peng, Yucheng Hu. "On the Poisson Approximation to Photon Distribution for Faint Lasers." arXiv:math-ph/0609063 (2006). https://pith.science/paper/IOOW5UEK
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,139 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.41 · human participants 0.02 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.43 · compares with prior results 0.12 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

It is proved, that for a certain kind of input distribution, the strongly binomially attenuated photon number distribution can well be approximated by a Poisson distribution. This explains why we can adopt poissonian distribution as the photon number statistics for faint lasers. The error of such an approximation is quantitatively estimated. Numerical tests are carried out, which coincide with our theoretical estimations. This work lays a sound mathematical foundation for the well-known intuitive idea which has been widely used in quantum cryptography.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 It is proved, that for a certain kind of input distribution, the strongly binomially attenuated photon number distribution can well be approximated by a Poisson distribution. result 0.93 0.92 0.88 asserted 1.00
s1 This explains why we can adopt poissonian distribution as the photon number statistics for faint lasers. interpretation 1.00 0.34 0.41 asserted 0.87
s2 The error of such an approximation is quantitatively estimated. result 0.46 0.93 0.08 asserted 0.99
s3 Numerical tests are carried out, which coincide with our theoretical estimations. result 0.52 0.95 0.07 asserted 0.99
s4 This work lays a sound mathematical foundation for the well-known intuitive idea which has been widely used in quantum cryptography. interpretation 0.92 0.69 0.27 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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  • C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

It is proved, that for a certain kind of input distribution, the strongly binomially attenuated photon number distribution can well be approximated by a Poisson distribution. This explains why we can adopt poissonian distribution as the photon number statistics for faint lasers. The error of such an approximation is quantitatively estimated. Numerical tests are carried out, which coincide with our theoretical estimations. This work lays a sound mathematical foundation for the well-known intuitive idea which has been widely used in quantum cryptography.

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