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有效的本地古典影子断层扫描与数量保存

Sumner N Hearth¹, Michael O Flynn¹, Anushya Chandran¹

¹Department of Physics, <a href="https://ror.org/05qwgg493">Boston University</a>, 590 Commonwealth Avenue, Boston, Massachusetts 02215, USA.

Physical review letters

|August 23, 2024

概括

我们开发了一种新的全对影子协议,用于量子断层扫描,用于具有数量保存定律的系统,如超冷原子. 这种方法使用两体门和线性时间算法高效地重建了几体可观测值.

科学领域:

量子信息科学是一种量子信息科学.
凝聚物质物理学凝聚物质物理学
超冷原子系统中的超冷原子系统.

背景情况:

影子断层扫描经典地使用随机测量来描述量子状态.
现有的单体影子协议是高效的,但对于数量保存的系统是失败的.

研究的目的:

提出和分析一个新的局部影子协议,用于量子系统的数量保存规律.
为了能够有效地重建在这样的系统中观察到的少数物体.

主要方法:

开发了使用一层两体门的全对协议.
导出了利用 permutation 对称性的线性时间后处理算法.
将协议应用于任何空间维度的硬核玻色子和无旋转费米子.

主要成果:

全对协议用多元 (V) 样本重建任意的少体可观测量.
证明了两点和四点函数的原理证明重建.
成功应用于硬核玻色子配对的卢廷格液体.

结论:

全对协议克服了保护系统的单体影子方法的局限性.
这项工作为超冷原子的量子态表征提供了一个实用的工具.
开发的算法为量子断层扫描提供了高效的后处理.

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