Quantum mechanical photon-count formula derived by entangled state representation

TL;DR

This paper introduces a novel method using thermo entangled state representation to derive four new formulas for photon counting distributions, simplifying calculations by expressing them as integrals over well-known phase-space functions.

Contribution

The paper presents four new photocount distribution formulas derived via thermo entangled state representation, connecting them to phase-space functions for easier computation.

Findings

New formulas facilitate photon-count calculations

Formulas expressed as integrals over phase-space functions

Enhanced understanding of light field measurement

Abstract

By introducing the thermo entangled state representation, we derived four new photocount distribution formulas for a given density operator of light field. It is shown that these new formulas, which is convenient to calculate the photocount, can be expressed as such integrations over Laguree-Gaussian function with characteristic function, Wigner function, Q-function, and P-function, respectively.