Classical communication and non-classical fidelity of quantum teleportation

TL;DR

This paper investigates the minimum classical communication required for quantum teleportation to achieve non-classical fidelity, analyzing the influence of entanglement and noise in classical channels.

Contribution

It quantifies the classical communication needed for non-classical fidelity in quantum teleportation using noisy channels and explores how entanglement affects this requirement.

Findings

0.208 bits of classical communication suffices on average

Necessary communication increases with weakening entanglement

Analysis of isotropic transformation case

Abstract

In quantum teleportation, the role of entanglement has been much discussed. It is known that entanglement is necessary for achieving non-classical teleportation fidelity. Here we focus on the amount of classical communication that is necessary to obtain non-classical fidelity in teleportation. We quantify the amount of classical communication that is sufficient for achieving non-classical fidelity for two independent 1-bit and single 2-bits noisy classical channels. It is shown that on average 0.208 bits of classical communication is sufficient to get non-classical fidelity. We also find the necessary amount of classical communication in case of isotropic transformation. Finally we study how the amount of sufficient classical communication increases with weakening of entanglement used in the teleportation process.