测量诱导的相位转换的交叉透基准
Yaodong Li1,2, Yijian Zou2, Paolo Glorioso2
1Department of Physics, University of California, Santa Barbara, California 93106, USA.
Physical review letters
|June 16, 2023
概括
线性交叉测量量子系统中的纠,区分体积法和面积法相. 这种方法允许实验访问测量诱导的相位过渡,而无需后期选择.
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:
- 测量诱导的相变 (MIP) 是量子信息中的一个关键现象.
- 描述这些转变通常需要对量子轨迹进行后选择,这在实验上具有挑战性.
- 线性交叉 (Lχ) 已被提议作为MIP的潜在顺序参数.
研究的目的:
- 调查使用线性交叉 (Lχ) 作为测量诱导相变的顺序参数.
- 开发一个无选择后的实验协议,用于访问MIPs.
- 探索噪音对MIP检测的影响.
主要方法:
- 使用两个随机量子电路具有相同的散量,但不同的初始状态.
- 在批量测量结果分布之间计算线性交叉 (Lχ).
- 采用混合量子-经典方法来有效采样Lχ.
- 数字模拟克利福德电路以估计采样复杂性.
主要成果:
- 线性交叉 (Lχ) 有效地区分了体积法和面积法相.
- 在体积定律阶段,Lχ接近1,表示无法区分的状态.
- 在区域法阶段,Lχ小于1.
- 对于克利福德电路,Lχ可以从O(1/ε2) 轨迹中以精度ε取样.
- 对于中等系统大小,MIP签名在弱去极化噪声下持续存在.
结论:
- 线性交叉作为测量诱导的相变的可行后选择无序参数.
- 拟议的混合量子-经典协议为实验验证提供了一个有效的途径.
- 对于MIP的噪声信号的稳定性表明,在近期设备中有可能进行实验观测.
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