Fidelity deviation in quantum teleportation

TL;DR

This paper investigates the performance of quantum teleportation by analyzing average fidelity and fidelity deviation, providing conditions for optimization under noisy channels and exploring the relationship between entanglement and teleportation quality.

Contribution

It introduces a framework to evaluate and optimize both average fidelity and fidelity deviation in noisy quantum channels, linking entanglement and Bell inequality violation.

Findings

Identifies conditions to optimize fidelity measures under Werner channel noise.

Defines a performance space connecting fidelity measures and channel noise.

Establishes a relationship between entanglement contribution and teleportation performance.

Abstract

We analyze the performance of quantum teleportation in terms of average fidelity and fidelity deviation. The average fidelity is defined as the average value of the fidelities over all possible input states and the fidelity deviation is their standard deviation, which is referred to as a concept of fluctuation or universality. In the analysis, we find the condition to optimize both measures under a noisy quantum channel---we here consider the so-called Werner channel. To characterize our results, we introduce a two-dimensional space defined by the aforementioned measures, in which the performance of the teleportation is represented as a point with the channel noise parameter. Through further analysis, we specify some regions drawn for different channel conditions, establishing the connection to the dissimilar contributions of the entanglement to the teleportation and the Bell inequality violation.