# Tomographic and statistical properties of superposition states for two-mode systems

## TL;DR

This paper analyzes the properties of two-mode superposition states, including their photon statistics, tomograms, and entanglement measures, providing insights into their quantum correlations and statistical behavior.

## Contribution

It introduces detailed calculations of photon distributions and tomograms for two-mode states, highlighting entanglement features using two different measures.

## Key findings

- Photon distribution functions are derived for the states.
- Entanglement is demonstrated in the system.
- Tomograms reveal quantum correlations.

## Abstract

The two-mode even and odd coherent states and two-mode squeezed correlated state are discussed. Photon distribution functions, means, dispersions, Fano factor for even and odd coherent states and squeezed correlated state are calculated. The photon distribution function for two-mode squeezed correlated state is obtained. The tomograms of two-mode even and odd coherent states and squeezed correlated states are investigated within the framework of a symplectic tomography scheme. It is shown that the phenomenon of entanglement appears in the system. Two different measures of entanglement are employed.