تقرير
Localized statistics decoding: A parallel decoding algorithm for quantum low-density parity-check codes
| العنوان: | Localized statistics decoding: A parallel decoding algorithm for quantum low-density parity-check codes |
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| المؤلفون: | Hillmann, Timo, Berent, Lucas, Quintavalle, Armanda O., Eisert, Jens, Wille, Robert, Roffe, Joschka |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, Computer Science - Information Theory |
| الوصف: | Quantum low-density parity-check codes are a promising candidate for fault-tolerant quantum computing with considerably reduced overhead compared to the surface code. However, the lack of a practical decoding algorithm remains a barrier to their implementation. In this work, we introduce localized statistics decoding, a reliability-guided inversion decoder that is highly parallelizable and applicable to arbitrary quantum low-density parity-check codes. Our approach employs a parallel matrix factorization strategy, which we call on-the-fly elimination, to identify, validate, and solve local decoding regions on the decoding graph. Through numerical simulations, we show that localized statistics decoding matches the performance of state-of-the-art decoders while reducing the runtime complexity for operation in the sub-threshold regime. Importantly, our decoder is more amenable to implementation on specialized hardware, positioning it as a promising candidate for decoding real-time syndromes from experiments. Comment: 21 pages, 10 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.18655 |
| رقم الأكسشن: | edsarx.2406.18655 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |