Higher-order nonclassicality criteria for photon-subtracted and photon-added states via the normalization constant

Jhordan Santiago

Higher-order nonclassicality criteria for photon-subtracted and photon-added states via the normalization constant

Quantum Physics 2025-12-01 v1

Authors: Jhordan Santiago

Abstract

We show that any nonclassicality criterion based on factorial moments, including several higher-order parameters such as the Mandel $Q^{(\ell)}$ parameter, the Lee antibunching function $d^{(\ell-1)}_h$ , and the Agarwal--Tara parameter $A_3$ , can be computed straightforwardly for photon-subtracted and photon-added states by performing operator reordering of the factorial moments. Within this approach, all relevant quantities depend solely on the normalization constant of the given state.

Keywords

factorial moments Mandel Q parameter Lee antibunching function Agarwal-Tara parameter photon-subtracted states photon-added states normalization constant nonclassicality

Cite

@article{arxiv.2511.21801,
  title  = {Higher-order nonclassicality criteria for photon-subtracted and photon-added states via the normalization constant},
  author = {Jhordan Santiago},
  journal= {arXiv preprint arXiv:2511.21801},
  year   = {2025}
}

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3 pages

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