Abstract

We explicitly present a generalized quantum teleportation of a two-qubit entangled state protocol, which uses two pairs of partially entangled particles as quantum channel. We verify that the optimal probability of successful teleportation is determined by the smallest superposition coefficient of these partially entangled particles. However, the two-qubit entangled state to be teleported will be destroyed if teleportation fails. To solve this problem, we show a more sophisticated probabilistic resumable quantum teleportation scheme of a two-qubit entangled state, where the state to be teleported can be recovered by the sender when teleportation fails. Thus the information of the unknown state is retained during the process. Accordingly, we can repeat the teleportion process as many times as one has available quantum channels. Therefore, the quantum channels with weak entanglement can also be used to teleport unknown two-qubit entangled states successfully with a high number of repetitions, and for channels with strong entanglement only a small number of repetitions are required to guarantee successful teleportation.

Highlights

  • Quantum teleportation (QT) is one of the most astonishing applications of quantum mechanics.This operable concept was originally presented by Bennett et al in 1993 [1]

  • Bob can convert the state of his EPR particle into an exact replica of the unknown state belonging to Alice by means of local operations and classical communication (LOCC)

  • We introduce an optimal scheme, probabilistic resumable quantum teleportation of a two-qubit entangled state (RTTES) in Section 3, which is assisted with two pairs of partially entangled channels (TPEC) and has the advantage that the unknown entangled state can be recovered by the sender when the process fails

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Summary

Introduction

Quantum teleportation (QT) is one of the most astonishing applications of quantum mechanics. Roa et al [34] presented a scheme for teleporting probabilistically an unknown pure state with optimal probability and without losing the information of the state to be teleported, and its advantage is that the unknown state is recovered by the sender when teleportation fails This property offers the chance to repeat the teleportation process as many times as one has available quantum channels. We introduce an optimal scheme, probabilistic resumable quantum teleportation of a two-qubit entangled state (RTTES) in Section 3, which is assisted with TPEC and has the advantage that the unknown entangled state can be recovered by the sender when the process fails.

Probabilistic Teleportation of a Two-Qubit Entangled State
Resumable Quantum Teleportation of a Two-Qubit Entangled Sstate
Discussion
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