A study of the efficiency of the class of $W$-states as a quantum channel

TL;DR

This paper investigates the efficiency of a new class of W-states as quantum channels for teleportation, identifying the most suitable state for optimal performance.

Contribution

It specifically identifies the most efficient three-qubit W-state for quantum teleportation within a newly defined class.

Findings

The state |W_1> is optimal for teleportation as it is input-independent.

Certain W-states outperform others in quantum communication tasks.

The study enhances understanding of W-states' utility in quantum information.

Abstract

Recently, a new class of $W$-states has been defined by Agarwal and Pati \cite{agarwal} and it has been shown that they can be used as a quantum channel for teleportation and superdense coding. In this work, we identify those three-qubit states from the set of the new class of $W$-states which are most efficient or suitable for quantum teleportation. We show that with some probability $|W_1>=(1/2)(|100>+|010>+\sqrt{2}|001>)$ is best suited for teleportation channel in the sense that it does not depend on the input state.