# Symplectic Tomography of Schrodinger Cat States of a Trapped Ion

## TL;DR

This paper investigates the measurement of nonclassical states of a trapped ion using symplectic tomography, focusing on squeezed and Schrödinger cat states, to better understand their quantum properties.

## Contribution

It introduces a method to analyze the marginal distributions of complex nonclassical states of a trapped ion through symplectic tomography.

## Key findings

- Derived explicit forms of marginal distributions for specific nonclassical states.
- Demonstrated the applicability of symplectic tomography to trapped ion states.
- Provided insights into the quantum features of squeezed and Schrödinger cat states.

## Abstract

The marginal distribution of squeezed, rotated and shifted quadrature for two types of nonclassical states of a trapped ion - squeezed correlated states and squeezed even and odd coherent states (squeezed Schrodinger cat states) - is studied.