Private Capacity of Quantum Channels Induced by Non-stabilizer Environmental States

@misc{xiong2026private,
  title = {{Private Capacity of Quantum Channels Induced by Non-stabilizer Environmental States}},
  author = {Chunhe Xiong and Sunho Kim and Long Long and Junde Wu},
  howpublished = {arXiv},
  year = {2026},
  month = jul,
  doi = {10.48550/arxiv.2607.11793},
  eprint = {2607.11793},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.11793},
}

TY  - UNPB
TI  - Private Capacity of Quantum Channels Induced by Non-stabilizer Environmental States
AU  - Chunhe Xiong
AU  - Sunho Kim
AU  - Long Long
AU  - Junde Wu
PY  - 2026
DA  - 2026/07/13
PB  - arXiv
DO  - 10.48550/arxiv.2607.11793
UR  - https://arxiv.org/abs/2607.11793
AB  - 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
ER  -