从经典码到量子码之路：一种接近哈希界的设计方法
The Road From Classical to Quantum Codes: A Hashing Bound Approaching Design Procedure
摘要：
强大的量子纠错码（QECC）需要稳定和保护脆弱的量子比特免受量子退相干的不良影响。类似于经典码，可以通过利用级联码结构来设计接近QECC的散列界，这调用迭代解码。因此，在本文中，我们提供了一个广泛的一步一步的教程设计外部信息传输（EXIT）图辅助级联量子码的基础上的量子到经典同构。这些设计经验教训，然后举例说明在我们提出的量子不规则卷积码（QIRCC）的上下文中，它构成了级联量子码的外部组件。建议的QIRCC可以动态地适应匹配任何给定的内部代码使用EXIT图表，从而实现接近哈希边界的性能。它表明，我们的QIRCC为基础的优化设计是能够在0.4 dB的噪声限制。
英文摘要：
Powerful Quantum Error Correction Codes (QECCs) are required for stabilizing and protecting fragile qubits against the undesirable effects of quantum decoherence. Similar to classical codes, hashing bound approaching QECCs may be designed by exploiting a concatenated code structure, which invokes iterative decoding. Therefore, in this paper we provide an extensive step-by-step tutorial for designing EXtrinsic Information Transfer (EXIT) chart aided concatenated quantum codes based on the underlying quantum-to-classical isomorphism. These design lessons are then exemplified in the context of our proposed Quantum Irregular Convolutional Code (QIRCC), which constitutes the outer component of a concatenated quantum code. The proposed QIRCC can be dynamically adapted to match any given inner code using EXIT charts, hence achieving a performance close to the hashing bound. It is demonstrated that our QIRCC-based optimized design is capable of operating within 0.4 dB of the noise limit.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
