Universal Decoding of Quantum Stabilizer Codes via Classical Guesswork
Universal Decoding of Quantum Stabilizer Codes via Classical Guesswork
复制标题
DOI：
10.1109/access.2023.3247966
复制
发表时间：
2023
期刊：
影响因子：
3.9
通讯作者：
Daryus Chandra;Zeynep B. Kaykac Egilmez;Yifeng Xiong;S. Ng;R. Maunder;L. Hanzo
中科院分区：
文献类型：
--
作者：
Daryus Chandra;Zeynep B. Kaykac Egilmez;Yifeng Xiong;S. Ng;R. Maunder;L. Hanzo
通过适当地适应“猜测随机添加噪声解码”（宏伟的）经典域代码的哲学，我们证明了通用的量子稳定质量解码，我们证明了普遍的量子质量，我们证明了通用的量子质量，以适当地表明，通用的量子解码器表明，通用的量子稳定性概念非常适合不同的QSC解码范围，为不同的QSC解码范围，对量子稳定器代码（QSC）进行了构想。也就是说，基于稳定器测量以及基于反编码器的解码。 Bose-Chaudhuri-Hocquenghem（BCH）代码和量子极性代码，并量化其量子块错误率（QBLER）和QBLER在逻辑量化的情况下以及它们的解码复杂性。 OFF并提供设计指南，以实施基于大的QSC解码器。
A universal decoding scheme is conceived for quantum stabilizer codes (QSCs) by appropriately adapting the ‘guessing random additive noise decoding’ (GRAND) philosophy of classical domain codes. We demonstrate that the generalized quantum decoder conceived is eminently suitable for different QSC decoding paradigms, namely for both stabilizer-measurement-based as well as the inverse-encoder-based decoding. We then harness the resultant decoder for both quantum Bose-Chaudhuri-Hocquenghem (BCH) codes and quantum polar codes and quantify both their quantum block error rate (QBLER), and QBLER per logical qubits as well as their decoding complexity. Furthermore, we provide a parametric study of the associated design trade-offs and offer design guideline for the implementation of GRAND-based QSC decoders.