We propose a quantum-resistant quantum teleportation (QRQT) framework protected by post-quantum cryptography (PQC) to secure the classical correction channel, which is vulnerable to quantum adversaries. By applying PQC to the classical control bits, QRQT eliminates the classical attack surface of quantum teleportation. Our analysis reveals that quantum memory is a hidden bottleneck linking physical and computational security: its finite coherence time simultaneously limits communication distance, constrains tolerable PQC overhead, and restricts the adversary attack window. Under realistic parameters (1 ms coherence, fiber-optic propagation), the maximum secure teleportation distance ranges from 191 km (FrodoKEM-1344) to 199 km (Kyber512). We show that the joint classical-quantum attack probability exhibits a non-monotonic, Bell-shaped profile due to the opposing time dependencies of classical cryptanalysis and quantum decoherence, establishing a bounded optimal attack window beyond which adversarial success decays exponentially. We further analyze how leakage of classical correction bits affects teleportation security under four stochastic leakage models: independent exponential, sequential, burst, and correlated leakage, also accounting for amplitude damping on the shared Bell pair. For each scenario, we derive closed-form expressions for the average Holevo quantity and teleportation fidelity as functions of time, providing measurement-independent upper bounds on extractable information and guiding the design of leakage-resilient quantum communication protocols.

翻译：我们提出了一种量子抗性量子隐形传态（QRQT）框架，该框架受后量子密码学（PQC）保护，用以保障易受量子对手攻击的经典校正通道的安全性。通过将PQC应用于经典控制比特，QRQT消除了量子隐形传态的经典攻击面。我们的分析揭示了量子存储器是连接物理安全与计算安全的隐藏瓶颈：其有限的相干时间同时限制了通信距离、约束了可容忍的PQC开销，并制约了对手的攻击窗口。在现实参数条件下（1 ms相干时间、光纤传播），最大安全隐形传态距离范围为191 km（FrodoKEM-1344）至199 km（Kyber512）。我们证明，由于经典密码分析与量子退相干的时间依赖性相反，联合经典-量子攻击概率呈现非单调的钟形分布，由此确定了有界的最优攻击窗口，超出该窗口后对手成功概率呈指数衰减。我们进一步分析了经典校正比特泄漏对隐形传态安全性的影响，考虑了四种随机泄漏模型：独立指数型、顺序型、突发型及相关型泄漏，同时计及共享贝尔对上的振幅阻尼效应。针对每种场景，我们推导了平均Holevo量及隐形传态保真度作为时间函数的闭式表达式，为可提取信息提供了与测量无关的上界，并指导了具有泄漏鲁棒性的量子通信协议设计。