The one-qubit teleportation protocol is one of the most well-known topics of quantum information theory. Indeed, the goal of this quantum protocol is to teleport an arbitrary quantum state. Herein, we investigate the entropic uncertainty relation in the presence of quantum memory (EUR-QM), quantum discord (QD), and fidelity of teleportation under dephasing, dissipative, and noisy environments. We relate the EUR-QM to QD and quantum teleportation and show analytically that there is a fully anti-correlated relation between QD and entropic uncertainty in a dephasing environment. In the process of our analysis, we also find an explicit relationship between the average fidelity of teleportation and the entropic uncertainty of the channel state. Significantly, the results report that the fidelity of teleportation and QD of the channel state are more stable and most efficiently under the influence of a dephasing environment than those under the influence of a dissipative or noisy envir...

中文翻译：

---

解相干环境下的量子记忆辅助熵不确定性，隐形传态和量子不和谐

单量子位隐形传态协议是量子信息论最著名的主题之一。实际上，该量子协议的目标是传送任意量子态。在本文中，我们研究了在移相，耗散和嘈杂环境下，存在量子记忆（EUR-QM），量子不和谐（QD）和隐形传送的保真度时的熵不确定性关系。我们将EUR-QM与QD和量子隐形传态联系起来，并分析表明在移相环境中QD与熵不确定性之间存在完全反相关的关系。在我们的分析过程中，我们还发现了隐形传态的平均保真度与信道状态的熵不确定性之间的明确关系。重要的是