相关实验视频
Updated: Jul 15, 2025

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Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
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量子LDPC代码基于共旋块矩阵的量子LDPC代码
1School of Electronic Information Engineering, Shanghai Dianji University, Shanghai 200240, China.
Entropy (Basel, Switzerland)
|September 28, 2023
概括
我们介绍了一种使用二进制同循环块矩阵的长长度量子错误校正代码 (QECC) 的新构造. 这种方法产生了具有快速构造和低密度特性的稳定器量子代码 (SQC),有利于量子计算.
科学领域:
- 量子信息科学 量子信息科学
- 编码理论编码理论
- 量子计算中的代数方法
背景情况:
- 稳定器量子代码 (SQC) 对于容错量子计算至关重要.
- 对于长长的QECC,需要有效的施工方法来扩展量子技术.
- 现有的方法可能缺乏速度或可取代码属性.
研究的目的:
- 为长长的量子错误纠正代码 (QECC) 提出一种新的构造方法.
- 为了利用二进制同循环块矩阵来生成SQC.
- 确保构建的代码具有理想的特性,如快速生成和低密度平价检查 (LDPC) 特性.
主要方法:
- 在GF上利用了一组二进制同循环块矩阵的家族.
- 在生成器矩阵构造中使用块矩阵的递归关系.
- 从循环 permutation 矩阵的行中导出 SQC.
主要成果:
- 成功构建了一个长长度量子同循环代码的发生器矩阵.
- 拟议的方法允许基于算法的快速代码生成.
- 由此产生的量子代码具有低密度的优势,在他们的坦纳图中没有4循环.
结论:
- 拟议的建造方法提供了一种有效的方式来产生长长的QECC.
- 衍生出的SQC具有有利的低密度特性,这对于实际实施很重要.
- 这项工作有助于开发强大的量子错误校正.
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