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

Abstract

We show that any nonclassicality criterion based on factorial moments, including several higher-order parameters such as the Mandel Q() parameter, the Lee antibunching function d(-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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