对于一维量子格子模型中的二元的低深度单元量子电路
Laurens Lootens1,2, Clement Delcamp2,3, Dominic Williamson4
1University of Cambridge, Department of Applied Mathematics and Theoretical Physics, Wilberforce Road, Cambridge, CB3 0WA, United Kingdom.
Physical review letters
|April 18, 2025
概括
我们介绍了一种使用单元量子电路实现量子二元性的方法. 这些电路有效地准备纠状态并绘制拓模型边界.
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
- 量子计算是一种量子计算.
背景情况:
- 量子系统中的二元性转换对于理解对称性和相位至关重要.
- 之前的工作建立了使用模块类别的 (1+1) d量子格子模型中的二元性的框架.
- 这些二元性以前使用单元矩阵产品运营商来实现.
研究的目的:
- 开发高效的量子电路,在量子格子模型中实现二元性.
- 探索在恒定深度量子电路中的二元性的实现.
- 在准备纠状态和分析拓模型方面展示应用.
主要方法:
- 引入对轨道收费部门的辅助自由度.
- 从二元运算符构建单元线性深度量子电路.
- 使用测量来实现特定对称性的恒定深度电路.
主要成果:
- 成功地将二元运算符转换为单元线性深度量子电路.
- 证明这些电路与量子状态的相变相一致.
- 展示了通过测量以恒定深度实现二元性的能力.
结论:
- 开发的量子电路为实现二元性提供了一种有效的方法.
- 这些电路在量子状态准备和拓相位分析中具有实际应用.
- 这种方法为量子计算机上模拟复杂的量子现象提供了一条途径.
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