在量子LDPC代码中解码相关错误
Arshpreet Singh Maan1, Francisco Miguel Garcia Herrero2, Alexandru Paler3
1Aalto University, Espoo, Finland. arshpreet.maan@aalto.fi.
Nature communications
|March 15, 2026
概括
我们开发了一个新的解码框架,用于量子错误校正代码,显著降低逻辑错误率. 这种方法实现了高精度和低延迟,使实时量子错误校正成为可能.
科学领域:
- 量子信息科学 量子信息科学
- 量子计算是一种量子计算.
- 错误纠正代码 错误纠正代码
背景情况:
- 量子代码中的相关错误对容错量子计算构成了重大挑战.
- 现有的解码方法与电路级噪声和相关错误作斗争.
研究的目的:
- 引入一个高效的解码框架,用于电路级噪声下的量子低密度平价检查 (LDPC) 代码.
- 通过修改错误模型,同时保持解码等价性来解决相关错误.
主要方法:
- 图形增强和推断 (GARI) 方法的重新连接,以修改相关的检测器错误模型.
- 消除了在图形表示中涉及Y型错误的4循环.
- 应用一个规范化的最小和解码器与混合串行层次编程.
- 使用24个并行解码器进行集体解码,以提高性能.
主要成果:
- 实现了 (6.70 ± 1.93) × 10-9 的逻辑错误率,在物理错误率为 10-3 的距离 12 个双变量自行车代码.
- 通过整体解码,与XYZ-Relay-BP相当的性能得到了证明.
- 初步的FPGA结果显示实时能力,平均解码延迟为273 ns.
结论:
- 该GARI框架有效地解码与相关错误的量子LDPC代码.
- 拟议的方法实现了高精度和低延迟,适合实时应用.
- 这项工作推动了对容错量子计算机的实际实施.
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