具有许多超立方体代码的高性能容错量子计算
Hayato Goto1,2
1RIKEN Center for Quantum Computing (RQC), Wako, Saitama 351-0198, Japan.
Science advances
|September 4, 2024
概括
我们介绍了许多超立方体代码,这是一个新的高速量子错误纠正代码家族. 这些代码可以实现高效的并行门操作,这对于高性能容错量子计算至关重要.
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:
- 由于编码速率低,标准量子错误校正方法需要大量的资源开销.
- 像量子低密度平价检查代码这样的高速率量子代码提供了更好的速率,但与并行逻辑门操作作斗争.
- 现有的方法在平衡高编码速率与高效并行性以实现容错量子计算方面面临挑战.
研究的目的:
- 提出一种新的高速量子错误检测代码家族.
- 解决现有代码在编码速率和并行网关执行方面的局限性.
- 开发一种适用于高性能容错量子计算的新类代码.
主要方法:
- 引入连接的高速小尺寸量子错误检测代码,称为许多超立方体代码.
- 使用对代码结构的几何解释,使用超立方体作为逻辑量子位.
- 为多个超立方体代码架构量身定制的专用解码器和编码器的开发.
主要成果:
- 实现了高编码速率,通过将64个逻辑量子位编码为216个物理量子位 (30%的速率) 来证明.
- 启用了逻辑门的并行性,克服了以前高速代码的关键限制.
- 证明了高误差值,即使在电路级噪声模型下,使用已开发的解码器和编码器.
结论:
- 许多超立方体代码为高速量子错误校正提供了一个有希望的解决方案.
- 拟议的代码促进了有效的并行门操作,这对于可扩展的量子计算至关重要.
- 这些进步为高性能耐故障量子计算系统铺平了道路.
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