降低使用形态化电路的双变自行车代码的连接要求
Mackenzie H Shaw1, Barbara M Terhal1
1Delft University of Technology, QuTech, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands and Delft Institute of Applied Mathematics, Mekelweg 4, 2628 CD Delft, The Netherlands.
Physical review letters
|March 25, 2025
概括
研究人员为双变自行车 (BB) 代码开发了新的变形电路,增强了量子比特连接. 这一创新保持了性能,同时提高了量子错误校正的编码率.
科学领域:
- 量子信息科学 量子信息科学
- 量子错误纠正方法 量子错误纠正方法
- 理论计算机科学 理论计算机科学
背景情况:
- 与表面代码相比,双变自行车 (BB) 代码提供了具有竞争力的逻辑性能.
- 以前的BB代码需要高量子比特连接 (六度).
- 改进的编码速率对于高效的量子计算至关重要.
研究的目的:
- 为了将变形电路通用化,用于BB代码.
- 设计一个新的BB代码家族,降低量子比特连接要求.
- 为了建立一个一般的框架,用于变形电路设计.
主要方法:
- 变形电路设计原理的概括.
- 将变形电路应用于BB代码.
- 开发一个适用于两块组代数代码的变形电路设计的一般框架.
主要成果:
- 定义了一个新的BB代码家族,只需要五度量子位连接.
- 这些新的BB代码的数值性能保持不变.
- 开发了一个设计变形电路的一般框架.
结论:
- 变形电路为更高效的BB代码提供了一条途径.
- 减少量子位连接要求可以简化硬件实现.
- 开发的框架适用于更广泛的量子纠错代码类别.
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