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非毛毛随机电路形成单元设计的速度与毛毛随机电路一样快
Toshihiro Yada1, Ryotaro Suzuki2, Yosuke Mitsuhashi3
1The University of Tokyo, Department of Applied Physics, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan.
Physical review letters
|February 6, 2026
概括
这项研究表明,非Haar随机电路比Haar随机电路更快地形成单元设计. 这一发现影响了量子多体物理学和现实世界量子实验.
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.
- 统计物理 统计物理
背景情况:
- 在随机电路中形成单元设计对于量子技术至关重要.
- 之前的研究集中在Haar随机电路上,而非Haar电路没有得到充分研究.
- 了解局部随机化器对设计形成的影响是一个开放的问题.
研究的目的:
- 在一般的非Haar随机电路中研究单元设计的形成率.
- 将非Haar随机电路与Haar随机电路的效率进行比较,以形成设计.
- 建立各种电路架构中单元设计所需的电路深度的理论界限.
主要方法:
- 在非Haar随机电路中单元设计形成的理论分析.
- 在不同维度的网格和电路结构中导出电路深度的上限.
- 将发现应用于随机基准测试和随机电路采样协议.
主要成果:
- 一般的非哈尔随机电路形成单元设计,深度的上限由哈尔随机电路,独立于系统大小.
- 这适用于各种电路结构,包括1D/高D网格,非局部配置和浅层拼接电路.
- 为设计形成提供了与Haar随机电路相比的恒定系数改进.
结论:
- 该研究为量子实验中灵活和强大的随机生成提供了理论基础.
- 提供了对复杂量子系统内的混乱动态的新见解.
- 证明了使用非Haar随机电路形成更有效的单元设计的潜力.
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