用单元镜子电路检测测量诱导的纠过渡
Yariv Yanay1,2, Brian Swingle3, Charles Tahan2
1Laboratory for Physical Sciences, 8050 Greenmead Drive, College Park, Maryland 20740, USA.
Physical review letters
|August 30, 2024
概括
研究人员开发了一种混合量子-经典算法,用于检测监控的量子电路中的相位过渡. 这种方法使用矩阵产物状态 (MPS) 来镜像电路,从而可以实验观察纠过渡.
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
背景情况:
- 监控的随机电路显示出体积定律和面积定律纠之间的量子相变.
- 由于重复测量结果的可能性很低,对这种过渡的实验观测具有挑战性.
研究的目的:
- 开发一种新的混合量子-经典算法,用于实验检测监控的随机电路中的纠相变.
- 使用矩阵产物状态 (MPS) 来近似量子状态并识别关键点.
主要方法:
- 开发了一种混合量子-经典算法,采用基于MPS的预测电路的单元镜像.
- 该算法利用多项式大小的张量网络 (如MPS) 的能力来表示面积定律纠状态.
主要成果:
- 基于MPS的单元镜准确地近似了临界点以上的状态 (p > p_c),但失败了下面的体积定律纠状态 (p < p_c).
- 单元镜子的破碎是关键点 (p_c) 的精确指标.
- 导出了MPS可表示状态的纠的边界,这对限制体积定律阶段有意义.
结论:
- 开发的混合算法提供了一种实验上可行的方法,用于精确确定监控量子电路中的纠阶段过渡.
- 这种方法克服了集体测量和指数小的重复概率的局限性.
- 使用随机的克利福德门进行的数值模拟验证了算法对小型量子比特系统的有效性.
相关概念视频
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