Entanglement and Mixed ness of Locally Cloned Non - Maximal W - State

TL;DR

This paper presents a protocol for generating bipartite entangled states from a non-maximal W state shared by three distant parties, analyzing entanglement, separability, and mixedness in the resulting states.

Contribution

It introduces a new protocol for local entanglement generation from non-maximal W states and studies the entanglement and mixedness properties of the output states.

Findings

Identifies parameter ranges for separability and inseparability.

Establishes the relationship between mixedness and inseparability.

Provides conditions for local and non-local entanglement generation.

Abstract

In this work we describe a protocol by which two of three parties generate two bipartite entangled state among themselves without involving third party, from a non maximal W state or W - type state $|X>=\alpha|001>_{123}+\beta|010>_{123}+\gamma|100>_{123}, \alpha^{2} + \beta^{2} + \gamma^{2} = 1$ shared by three distant partners. Also we have considered the case $\beta=\gamma$, to obtain a range for $\alpha^2$, for which the local output states are separable and non local output states are inseparable. We also find out the dependence of the mixed ness of inseparable states with their amount of inseparability, for that range of $\alpha^2$.