Fidelity deviation in quantum teleportation

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.

arXiv comment10 pages, 1 figure

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• Gain in Performance of Teleportation with Uniformity-breaking Distributions
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• Optimal input states for quantifying the performance of continuous-variable unidirectional and bidirectional teleportation
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• Recycling the resource: Sequential usage of shared state in quantum teleportation with weak measurements
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