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

2025/11/26 by Santiago, Jhordan
Computer Science · Mathematics · Physics and Astronomy · #Quantum Information and Cryptography #Spectral Theory in Mathematical Physics #Quantum Mechanics and Applications

paper · pdf · doi:10.48550/arxiv.2511.21801

Abstract

We show that any nonclassicality criterion based on factorial moments, including several higher-order parameters such as the Mandel Q^(ℓ) parameter, the Lee antibunching function d^(ℓ-1)_h, and the Agarwal--Tara parameter A₃, 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.

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