A Revisit to Non-maximally Entangled Mixed States: Teleportation Witness, Noisy Channel and Discord

TL;DR

This paper revisits a class of non-maximally entangled mixed states, analyzing their entanglement, teleportation capability, and robustness under noisy channels, with a focus on amplitude damping effects and quantum discord.

Contribution

It introduces suitable entanglement and teleportation witnesses for these states and examines their behavior under noise, providing new insights into their practical utility.

Findings

Identified entanglement and teleportation witnesses for the states.

Analyzed the impact of amplitude damping noise on teleportation capacity.

Compared quantum discord and concurrence for the states.

Abstract

We constructed a class of non-maximally entangled mixed states \cite{roy2010} and extensively studied its entanglement properties and also their usefulness as teleportation channels. In this article, we revisited our constructed state and have studied it from three different perspectives. Since every entangled state is associated with an witness operator, we have found a suitable entanglement as well as teleportation witness for our non-maximally entangled mixed states. We considered the noisy channel's effects on our constructed state and to see whether it affects the states' capacity as teleportation channel. For this purpose we have mainly emphasized on amplitude damping channel. A comparative study with concurrence and quantum discord of the state of ref. \cite{roy2010} has also been carried out here.