非稳定器环境态诱导的量子信道的私有容量
Private Capacity of Quantum Channels Induced by Non-stabilizer Environmental States
AI总结：
该研究利用量子卷积理论探讨量子信道私有容量，发现稳定器态环境下私有容量为零，某些神奇环境态下非零，离散分束器酉算子私有容量受环境态神奇量限制，特定对称结构神奇环境态对一类卷积私有容量也为零，强调神奇资源在量子通信中的作用。
AI中文摘要：
我们使用最近提出的离散变量量子系统的量子卷积理论来研究量子信道的私有容量。我们关注在此框架中神奇资源所起的作用。首先，对于一大类卷积信道，我们发现如果固定的环境态是稳定器态，则私有容量为零。此外，我们表明对于某些神奇环境态，私有容量可以非零。而且，我们证明离散分束器酉算子的私有容量由环境态的神奇量上界限制。另外，如果环境态呈现某种对称结构，即使它是神奇的，对于一类卷积，相应的私有容量也将消失。这些结果强调了神奇资源在量子通信中的作用。
英文摘要：
We investigate the private capacity of quantum channels using the recently proposed quantum convolution theory for discrete-variable quantum systems. We focus on the role of the magic resource played in this framework. Firstly, for a large class of convolutional channels, we find that the private capacity is zero if the fixed environmental state is a stabilizer state. Moreover, we show that the private capacity can be nonzero for some magic environmental states. Furthermore, we show that the private capacity of a discrete beam splitter unitary is upper-bounded by the amount of magic of the environmental state. In addition, if the environmental state exhibits a certain symmetric structure, even if it is magic, the corresponding private capacity will also vanish for a class of convolution. These results emphasize the role of magic resources in quantum communication
