论文标题
量子资源净化的无关定理II：新方法和渠道理论
No-go theorems for quantum resource purification II: new approach and channel theory
论文作者
论文摘要
最近已经显示，从嘈杂的资源状态转换为纯粹的量子资源理论[fang/liu，phys phys phys phys。莱特牧师。 125，060405（2020）]。在这里，我们开发了一种新颖而有力的方法来分析量子资源净化的局限性，这不仅会导致界限的改进，从而排除了更广泛的嘈杂状态的精确纯化，并且在某些情况下是紧张的，而且还使我们能够为量子通道（动态通道）资源建立强大的无纯化理论。更具体地说，我们采用新方法来推导通用界限，以转换通用噪声通道的错误和成本（与状态理论相比，可以自适应地使用多个实例），以在任何自由的通道与通道映射下进行某些单一资源通道。我们以更具体的术语解决了几种实际兴趣的情况，并讨论了我们的一般结果与蒸馏，量子误差校正，量子香农理论和量子电路合成的联系和应用。
It has been recently shown that there exist universal fundamental limits to the accuracy and efficiency of the transformation from noisy resource states to pure ones (e.g.,~distillation) in any well-behaved quantum resource theory [Fang/Liu, Phys. Rev. Lett. 125, 060405 (2020)]. Here, we develop a novel and powerful method for analyzing the limitations on quantum resource purification, which not only leads to improved bounds that rule out exact purification for a broader range of noisy states and are tight in certain cases, but also enable us to establish a robust no-purification theory for quantum channel (dynamical) resources. More specifically, we employ the new method to derive universal bounds on the error and cost of transforming generic noisy channels (where multiple instances can be used adaptively, in contrast to the state theory) to some unitary resource channel under any free channel-to-channel map. We address several cases of practical interest in more concrete terms, and discuss the connections and applications of our general results to distillation, quantum error correction, quantum Shannon theory, and quantum circuit synthesis.
