AI 中文总结
本文提出纠缠与魔法的分布式资源理论（DREAM），发现其包含非纠缠非魔法的资源态，可实现无纠缠的魔法态隐形传态，为分布式量子资源研究建立了系统框架。
AI 中文摘要
在分布式容错量子计算中，纠缠是量子通信的核心资源，魔法（magic）是通用容错量子计算的核心资源，二者通常被视为不同的资源货币，但能否用统一的资源理论描述仍是未解决的问题。本文引入纠缠与魔法的分布式资源理论（DREAM），该框架中的自由态是乘积局域稳定子态的凸组合，自由操作是经经典通信辅助的局域稳定子电路（LSCC）。研究表明，DREAM包含既非纠缠也非魔法的非平凡资源态，因此严格比单独处理两种资源更丰富；这类资源可在不消耗纠缠的情况下实现远程 parties 间的魔法态隐形传态，揭示了完全由可分态介导的反直觉资源隐形传态形式。本文将该结果推广至量子网络，研究了 LSCC 下的通用量子态隐形传态，证明 DREAM 下的共享资源与隐形传态能力密切相关，该能力由被隐形传态态的魔法量化。本工作为研究分布式量子资源建立了系统框架，揭示了统一资源理论中不同资源间的内在关联。
英文摘要
In distributed fault-tolerant quantum computing, entanglement and magic are essential resources for quantum communication and universal fault-tolerant computation, respectively. Although they are usually treated as distinct resource currencies, whether they admit a unified resource-theoretic description remains an open question. Here, we introduce the distributed resource theory of entanglement and magic (DREAM). In this framework, the free states are convex mixtures of product local stabilizer states, and the free operations are local stabilizer circuits assisted by classical communication (LSCC). We show that DREAM contains nontrivial resource states that are neither entanglement nor magic, so it is strictly richer than treating the two resources independently. Surprisingly, such resources can enable the teleportation of magic states between distant parties without consuming entanglement, revealing a counterintuitive form of resource teleportation mediated entirely by separable states. We further generalize this result to quantum networks and investigate general quantum-state teleportation under LSCC. We show that the shared resource under DREAM is closely related to the teleportation capability, quantified by the magic of the teleported state. Our work establish a systematic framework for studying distributed quantum resources and uncover intrinsic relations among distinct resources within a unified resource theory.
