对于来自Majorana迁移的表面代码的一致错误值
Florian Venn1, Jan Behrends2, Benjamin Béri1,2
1DAMTP, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, United Kingdom.
Physical review letters
|August 25, 2023
概括
我们开发了新的方法,将连贯错误的量子错误校正映射到统计力学模型中. 这显示了连贯错误的存储值比不连贯错误的存储值更高.
科学领域:
- 量子信息科学 量子信息科学
- 凝聚物质物理学 凝聚物质物理学
- 统计力学 统计力学
背景情况:
- 统计力学映射对于理解量子错误校正至关重要.
- 现有的模型主要解决不连贯的噪音,忽略连贯的错误,如虚假的门旋转.
研究的目的:
- 为表面代码开发统计力学映射,考虑连贯错误.
- 为了比较连贯与不连贯噪声的错误校正特性.
主要方法:
- 将具有连贯错误 (X或Z旋转) 的表面代码映射到具有复杂合的2D Ising模型中.
- 进一步将其映射到一个二维的Majorana散射网络.
- 将二维网络连接到一维费米子,以分析错误纠正阶段.
主要成果:
- 确定了连贯和不连贯的错误纠正之间的共同点和差异.
- 这两种错误类型都在错误纠正阶段映射到一个Z2-非平凡的2D绝缘器.
- 一致性错误,超出值角度 (φth ≈ 0.14π),映射到一个Majorana金属,不像Z2-微不足道的绝缘器不一致的错误.
- 导出的值sin2(φth) ≈0.18超过了不连贯的值pth ≈0.11.
结论:
- 开发的映射提供了对量子错误校正与连贯噪声的新见解.
- 连贯错误允许比以前考虑的不连贯错误更高的存储值.
- 这些发现表明,量子错误纠正代码的弹性可能有所改善.
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