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实验量子模拟的拓保护的哈达马德门通过编织斐波纳契任何ons的量子模拟
Yu-Ang Fan1, Yingcheng Li2, Yuting Hu3
1Shenzhen Institute for Quantum Science and Engineering and Department of Physics, Southern University of Science and Technology, Shenzhen 518055, China.
Innovation (Cambridge (Mass.))
|August 10, 2023
概括
本研究介绍了一种用于拓量子计算 (TQC) 的新型磁盘模型,仅使用两个量子比特. 它展示了一个拓保护的哈达马德门,这是朝着容错量子计算迈出的重要一步.
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
- 量子计算架构 量子计算架构
背景情况:
- 拓量子计算 (TQC) 通过拓保护量子信息,提供容错的量子计算.
- 目前的TQC方法需要复杂的模型,缺乏物理实现,特别是使用斐波纳契数的通用计算.
- 编织非阿贝尔的anyons对于TQC至关重要,但在实验上仍然具有挑战性.
研究的目的:
- 提出一个新的磁盘模型来模拟斐波纳契的anyon系统.
- 构建拓上受保护的逻辑空间,并使用斐波纳契任意数实现通用量子门.
- 为了实现普遍的TQC,减少资源需求.
主要方法:
- 开发了一个使用两个物理量子比特模拟三个斐波纳契任何子的磁盘模型.
- 在这些anyons上通过编织操作实现了通用量子门.
- 使用核自旋量子位的拓哈达马德门的实验实现.
主要成果:
- 用最小的资源 (两个量子位,15个编织操作) 构建了一个拓保护的逻辑空间和哈达马德门.
- 实现了拓哈达马德门的高保真性,通过随机基准测试进行验证.
- 证明了对局部干扰的拓保护,这些干扰只会诱导全局阶段.
结论:
- 拟议的磁盘模型为实现通用TQC提供了一个可行的途径.
- 这项工作是TQC的原则证明,大大推进了对故障耐受量子计算机的开发.
- 该提案的平台独立性扩大了其在量子计算研究中的适用性.
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