Estimating entanglement in teleportation experiments

TL;DR

This paper develops methods to estimate and bound entanglement in quantum teleportation experiments, linking the nonclassicality of the process to quantifiable entanglement measures.

Contribution

It introduces a way to derive lower bounds on entanglement measures from teleportation data, with conditions for tight bounds, connecting teleportation performance to entanglement quantification.

Findings

Lower bounds on entanglement negativity and robustness can be derived from teleportation data.

In some cases, these bounds are tight, accurately reflecting the entanglement.

The bounds serve as measures of the nonclassicality of teleportation experiments.

Abstract

Quantum state teleportation is a protocol where a shared entangled state is used as a quantum channel to transmit quantum information between distinct locations. Here we consider the task of estimating entanglement in teleportation experiments. We show that the data accessible in a teleportation experiment allows to put a lower bound on some entanglement measures, such as entanglement negativity and robustness. Furthermore, we show cases in which the lower bounds are tight. The introduced lower bounds can also be interpreted as quantifiers of the nonclassicality of a teleportation experiment. Thus, our findings provide a quantitative relation between teleportation and entanglement.