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Universal Decoding of Quantum Stabilizer Codes via Classical Guesswork
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DOI：10.1109/ACCESS.2023.3247966.png)
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摘要
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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.
Keyword:
Decoding
Qubit
Complexity theory
Forward error correction
Maximum likelihood decoding
Standards
Error correction codes
Quantum error correction codes
quantum stabilizer codes
quantum noise
decoding
期刊
IF:
3.6
论文数:
9.8W
被引数:
29.4W
机构
引用论文
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