标题： 量子隐形传态在黑洞附近的谜题 显示英文标题

标题： The quantum enigma of teleportation near black holes

摘要： 围绕黑洞存在性的谜团最近通过实验物理学家\cite{genzel2024}的开创性工作得到了证实。 在黑洞引力影响下探索量子系统已成为研究的关键领域。 在量子信息处理的前沿工作中，利用量子态作为量子信道是一项重要应用。 一个基本的量子信息协议是量子隐形传态，在该协议中，两个参与者 Alice 和 Bob 共享纠缠态。 在此协议中，持有未知量子比特的发送者 Alice 利用局部操作和经典通信（LOCC）在接收者（Bob）端重建该量子比特。 值得注意的是，在执行此协议期间，Alice 在她的侧边会失去该未知量子比特。 该隐形传态协议最初由 Bennett 等人提出，\cite{bennett1993}，已被广泛研究，涉及各种状态和不同的物理设置。 研究人员探讨了对该协议本身的修改以及各种量子态作为隐形传态信道的可行性。 在本文中，我们研究从两种不同黑洞模型的引力影响下得到的两种非等价三重纯态导出的双部分混合态是否仍能作为隐形传态的有效量子信道。 我们强调这些态的隐形传态保真度，这是决定其作为量子信道有效性的一个关键因素。 具体而言，保真度必须超过$\frac{2}{3}$的经典极限才能被视为有效\cite{pop1994}。 我们推测，即使在黑洞的引力影响下，给定态的量子特性仍然被保留，使其能够有效地作为隐形传态的量子信道。 显示英文摘要

摘要： The enigma surrounding the existence of black holes has recently been substantiated through the groundbreaking work of experimental physicists \cite{genzel2024}. Exploring quantum systems under the gravitational influence of black holes has emerged as a pivotal area of research. Among the frontier works in quantum information processing is the utilization of quantum states as quantum channels. A fundamental quantum information protocol is teleportation, in which two parties, Alice and Bob, share entangled states. In this protocol, the sender, Alice, who holds an unknown qubit, utilizes local operations and classical communication (LOCC) to recreate the qubit at the recipient's (Bob's) end. Notably, during the execution of this protocol, Alice loses the unknown qubit on her side. The teleportation protocol, originally proposed by Bennett et al. \cite{bennett1993}, has been extensively studied with various states and under different physical setups. Researchers have explored both modifications to the protocol itself and the viability of various quantum states as teleportation channels. In this paper, we investigate whether bipartite mixed states derived from two inequivalent classes of tripartite pure states, subjected to the gravitational influence of two different black hole models, can still serve as efficient quantum channels for teleportation. We emphasize the teleportation fidelity of these states, a critical factor for determining their efficacy as quantum channels. Specifically, the fidelity must exceed the classical limit of $\frac{2}{3}$ to be considered effective \cite{pop1994}. We conjecture that, even under the gravitational influence of black holes, the quantum characteristics of the given states are preserved, enabling them to function effectively as quantum channels for teleportation.