Soft syndrome iterative decoding of quantum LDPC codes and hardware architectures
Soft syndrome iterative decoding of quantum LDPC codes and hardware architectures
复制标题
量子LDPC码的软征候迭代解码和硬件架构
DOI：
10.1140/epjqt/s40507-023-00201-1
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发表时间：
2023
影响因子：
5.3
通讯作者：
Vasić, Bane
中科院分区：
文献类型：
--
作者：
Raveendran, Nithin;Valls, Javier;Pradhan, Asit Kumar;Rengaswamy, Narayanan;Garcia-Herrero, Francisco;Vasić, Bane
在实际的量子纠错实现中，伴随式信息的测量是一个不可靠的步骤-通常被建模为以一定概率翻转的二进制测量结果。然而，测量的校正子实际上是在校正子提取的物理实现中获得的连续电压或电流值的离散化值。在本文中，我们使用这种“软”或模拟信息，有利于迭代解码器解码量子低密度奇偶校验（QLDPC）码。基于综合征的迭代置信传播解码器被修改为利用软综合征来同时校正数据和综合征错误。我们证明了所提出的方案的优点，不仅在准循环提升积QLDPC码族的阈值和逻辑错误率的比较，但也与迭代解码器的收敛速度更快。此外，我们推导出这些软综合征解码器的硬件（FPGA）架构，并获得类似的性能，即使在软信息的精度降低的理想模型的纠错。在20 nm CMOS工艺FPGA器件中，硬件架构的总延迟约为600 ns（对于考虑的QLDPC码），并且面积开销几乎恒定-与具有噪声综合征的最小和解码器相比小于50%。
In practical quantum error correction implementations, the measurement of syndrome information is an unreliable step—typically modeled as a binary measurement outcome flipped with some probability. However, the measured syndrome is in fact a discretized value of the continuous voltage or current values obtained in the physical implementation of the syndrome extraction. In this paper, we use this “soft” or analog information to benefit iterative decoders for decoding quantum low-density parity-check (QLDPC) codes. Syndrome-based iterative belief propagation decoders are modified to utilize the soft syndrome to correct both data and syndrome errors simultaneously. We demonstrate the advantages of the proposed scheme not only in terms of comparison of thresholds and logical error rates for quasi-cyclic lifted-product QLDPC code families but also with faster convergence of iterative decoders. Additionally, we derive hardware (FPGA) architectures of these soft syndrome decoders and obtain similar performance in terms of error correction to the ideal models even with reduced precision in the soft information. The total latency of the hardware architectures is about 600 ns (for the QLDPC codes considered) in a 20 nm CMOS process FPGA device, and the area overhead is almost constant—less than 50% compared to min-sum decoders with noisy syndromes.
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影响因子：
2.9
作者：
Calderbank, AR;Shor, PW
通讯作者：
Shor, PW
影响因子：
8.6
作者：
Maxime Tremblay;Nicolas Delfosse;M. Beverland
通讯作者：
M. Beverland
影响因子：
6.4
作者：
N. Raveendran;Narayanan Rengaswamy;F. Rozpędek;Ankur Raina;Liang Jiang;Bane Vasi'c
通讯作者：
N. Raveendran;Narayanan Rengaswamy;F. Rozpędek;Ankur Raina;Liang Jiang;Bane Vasi'c
高吞吐量非二进制 LDPC 解码器调查：ASIC、FPGA 和 GPU 架构
影响因子：
35.6
作者：
Ferraz, O.;Subramaniyan, S.;Chinthalaa, R.;Andrade, J.;Cavallaro, J. R.;Nandy, S. K.;Silva, V.;Zhang, X.;Falcao, G.
通讯作者：
Falcao, G.
高阈值、低开销的容错量子存储器
DOI：
--
发表时间：
2023
期刊：
The Naturalist
影响因子：
--
作者：
S. Bravyi;Andrew W. Cross;J. Gambetta;D. Maslov;Patrick Rall;Theodore J. Yoder
通讯作者：
Theodore J. Yoder