当前位置: X-MOL 学术IEEE Trans. Inform. Theory › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Generalized Perfect Codes for Symmetric Classical-Quantum Channels
IEEE Transactions on Information Theory ( IF 2.5 ) Pub Date : 2022-04-28 , DOI: 10.1109/tit.2022.3170868
Andreu Blasco Coll 1 , Gonzalo Vazquez-Vilar 2 , Javier Rodriguez Fonollosa 2
Affiliation  

We define a new family of codes for symmetric classical-quantum channels and establish their optimality. To this end, we extend the classical notion of generalized perfect and quasi-perfect codes to channels defined over some finite dimensional complex Hilbert output space. The resulting optimality conditions depend on the channel considered and on an auxiliary state defined on the output space of the channel. For certain $N$ -qubit classical-quantum channels, we show that codes based on a generalization of Bell states are quasi-perfect and, therefore, they feature the smallest error probability among all codes of the same blocklength and cardinality.

中文翻译:

对称经典量子通道的广义完美码

我们为对称经典量子信道定义了一个新的代码族并建立了它们的最优性。为此,我们将广义完美和准完美码的经典概念扩展到在一些有限维复数希尔伯特输出空间上定义的通道。由此产生的最优条件取决于所考虑的通道和在通道的输出空间上定义的辅助状态。对于某些 $N$ -qubit 经典量子通道,我们表明基于贝尔状态推广的代码是准完美的,因此,它们具有相同块长度和基数的所有代码中最小的错误概率。
更新日期:2022-04-28
down
wechat
bug