The use of the output states generated by the broadcasting of entanglement in quantum teleportation

TL;DR

This paper establishes a relation between teleportation fidelity and concurrence for $X$ states, analyzing output states from entanglement broadcasting and their usefulness as quantum channels.

Contribution

It introduces a theorem linking teleportation fidelity and concurrence, and compares local and nonlocal broadcasting effects on quantum channel quality.

Findings

Nonlocal broadcasting yields higher concurrence in output states.

All output states from broadcasting are useful for quantum teleportation.

Maximal teleportation fidelity is higher with nonlocal broadcasting.

Abstract

In this article, we find a theorem that gives a relation between the maximal fidelity of teleportation and the concurrence of the inseparable $X$ state used as a quantum channel in this process. Furthermore, we evaluate the concurrence of the output states generated by the local and nonlocal asymmetric broadcasting of entanglement and prove that the concurrence is greater in the case of nonlocal broadcasting. We analyze the possibility of using the output states obtained by the broadcasting of entanglement as quantum channels in quantum teleportation. We prove, with the help of the above-mentioned theorem, that all the inseparable states given by the local and nonlocal asymmetric broadcasting of entanglement are useful for quantum teleportation. Finally, we show that the maximal fidelity of teleportation is greater in the case when the second scenario is used, i.e., when the quantum channel is generated by the nonlocal asymmetric broadcasting of entanglement.