Comparison of Qubit and Qutrit like Entangled Squeezed and Coherent States of Light

TL;DR

This paper investigates entangled squeezed states of light, analyzing their Wigner functions and entanglement properties, and compares qubit and qutrit-like states generated via optical nonlinear interactions.

Contribution

It introduces a detailed analysis of qubit and qutrit-like entangled squeezed states, including their Wigner functions and entanglement witnesses, expanding understanding of their quantum properties.

Findings

Wigner function peaks are entanglement sensitive and serve as entanglement witnesses.

Monogamy inequality holds for qutrit-like ESS.

Comparative analysis with entangled coherent states enhances understanding.

Abstract

Squeezed state of light is one of the important subjects in quantum optics which is generated by optical nonlinear interactions. In this paper, we especially focus on qubit like entangled squeezed states (ESS's) generated by beam splitters, phase-shifter and cross Kerr nonlinearity. Moreover the Wigner function of two-mode qubit and qutrit like ESS are investigated. We will show that the distances of peaks of Wigner functions for two-mode ESS are entanglement sensitive and can be a witness for entanglement. Like the qubit cases, monogamy inequality is fulfilled for qutrit like ESS. These trends are compared with those obtained for qubit and qutrit like entangled coherent states (ECS).