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دسته بندی:
محاسبات کوانتومی - Quantum-Computing
سال انتشار:
2022
عنوان انگلیسی مقاله:
On the Logical Error Rate of Sparse Quantum Codes
ترجمه فارسی عنوان مقاله:
در مورد میزان خطای منطقی کدهای کوانتومی پراکنده
منبع:
ieee - ieee Transactions on Quantum Engineering;2022;3; ;10:1109/TQE:2022:3196609
نویسنده:
PATRICIO FUENTES1 , JOSU ETXEZARRETA MARTINEZ1 , PEDRO M. CRESPO1 (Senior Member, IEEE), AND JAVIER GARCIA-FRÍAS2 (Senior Member, IEEE)
چکیده انگلیسی:
The quantum paradigm presents a phenomenon known as degeneracy that can potentially
improve the performance of quantum error correcting codes. However, the effects of this mechanism are
sometimes ignored when evaluating the performance of sparse quantum codes and the logical error rate is
not always correctly reported. In this article, we discuss previously existing methods to compute the logical
error rate and we present an efficient coset-based method inspired by classical coding strategies to estimate
degenerate errors and distinguish them from logical errors. Additionally, we show that the proposed method
presents a computational advantage for the family of Calderbank–Shor–Steane codes. We use this method
to prove that degenerate errors are frequent in a specific family of sparse quantum codes, which stresses
the importance of accurately reporting their performance. Our results also reveal that the modified decoding
strategies proposed in the literature are an important tool to improve the performance of sparse quantum
codes.
INDEX TERMS: Iterative decoding | quantum error correction (QEC) | quantum low density generator matrix codes | quantum low-density parity check (QLDPC) codes.
قیمت: رایگان
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