发表机构
Central South University; Harbin Engineering University; Changsha University of Science and Technology; Capital Normal University; Zhejiang University（中南大学; 哈尔滨工程大学; 长沙理工大学; 首都师范大学; 浙江大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究 Clifford 相互作用对量子传输的影响，分类局部等价类，揭示正卷积导致纠缠破坏而其他相互作用可实现无噪声传输，并利用环境 Clifford 传输约化信道以获得私有容量上界。
AI 中文摘要
我们研究在扩展正离散量子卷积的设定下，固定环境的 Clifford 相互作用如何决定量子传输。我们刻画了何时可以将作用于环境的 Clifford 操作替换为作用于信号输入和两个输出的操作，并在局部 Clifford 变换下对相互作用进行分类。对于纯稳定子环境，我们直接从相互作用和环境稳定子确定信道的无噪声、退相和完全去极化部分，从而获得其量子容量和私有容量。这揭示了相互作用之间的区别：局部等价于正卷积的那些相互作用对每个纯稳定子环境都会产生纠缠破坏信道，而该类中所有其他相互作用在适当的纯稳定子环境下都允许无噪声量子传输。对于正卷积，环境 Clifford 传输还使我们能够分离任意混合环境的稳定化坐标。这些坐标仅携带接收者和环境共享的经典标签，因此移除它们可保持量子容量和私有容量。由此产生的信道约化给出了由环境状态的修正相对熵魔法给出的私有容量上界。
英文摘要
We study how Clifford interactions with a fixed environment determine quantum transmission, in a setting that extends positive discrete quantum convolution . We characterize when Clifford operations on the environment can be replaced by operations on the signal input and the two outputs, and classify the interactions under local Clifford transformations . For pure stabilizer environments, we determine the noiseless, dephasing, and completely depolarizing parts of the channel directly from the interaction and environmental stabilizers, obtaining its quantum and private capacities . This reveals a distinction between interactions: those locally equivalent to positive convolution produce entanglement-breaking channels for every pure stabilizer environment, whereas every other interaction in the class admits noiseless quantum transmission with a suitable pure stabilizer environment . For positive convolution, environmental Clifford transport also allows us to separate the stabilized coordinates of an arbitrary mixed environment . These coordinates carry only a classical label shared by the receiver and environment, so removing them preserves quantum and private capacities . The resulting channel reduction yields a private-capacity bound by the modified relative entropy of magic of the environmental state .
Comments20 pages, 3 Figures, Comments are welcome
