In this paper we redesign the probabilistic teleportation scheme considered in Phys. Rev. A61, 034301 (2000) by Wan-Li Li et al., where the optimal state extraction protocol complements the basic teleportation process with a partially entangled pure state channel, in order to transfer the unknown state with fidelity 1. Unlike that scheme, where the information of the unknown state is lost if the state extraction fails, our proposal teleports exactly and optimally an unknown state, and allows to recover faithfully that state when the process has not succeeded. In order to study the resilience of the scheme, we apply it to the teleportation problem through a quantum channel in a mixed state with pure dephasing. We find that a successful process transfers an unfaithful state, namely, the outcome state acquires the decoherence of the channel, but the unknown state is recovered by the sender with fidelity 1 if the teleportation fails. In addition, in this case, the fidelity of the teleported state has quantum features only if the channel has an amount of entanglement different from zero.

中文翻译：

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在概率量子隐形传态中恢复信息

在本文中，我们重新设计了Phys中考虑的概率隐形传态方案。修订版A 61，034301（2000）由宛黎离等。，其中最佳状态提取协议为了使保真度为1的未知状态转移，通过部分纠缠的纯状态信道对基本的隐形传态过程进行补充。与那种方案不同，如果状态提取失败，未知态的信息会丢失，我们的建议精确而理想地传递了一个态。未知状态，并允许在过程未成功时忠实地恢复该状态。为了研究该方案的弹性，我们将其通过纯相位的混合状态下的量子信道将其应用于隐形传态问题。我们发现成功的过程将转移不忠实的状态，即结果状态获得信道的去相干性，但是如果隐形传送失败，则发送方将以保真度1恢复未知状态。另外，在这种情况下，