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Asymmetric integration projection operators constructed by entangled state representations and parity measurement
Journal of the Optical Society of America B ( IF 1.9 ) Pub Date : 2021-05-07 , DOI: 10.1364/josab.417605
Shuai Wang , Zhi-Ping Wang , Jian-Dong Zhang

Using the technique of integration within an ordered product of operators and Dirac notation, we introduce asymmetric integration projection operators in entangled state representations. These asymmetric projection operators are proven to be Hermitian. We demonstrate rigorously that they correspond to a parity measurement combined with a balanced beam splitter that provides an alternative method to analyze the signal of parity measurement. We use our method to revisit several previous schemes using parity measurement and exotic inputs. These results suggest that our work is useful for quantum metrology based on parity measurement.

中文翻译:

由纠缠状态表示和奇偶测量构造的非对称积分投影算子

使用运算符和狄拉克符号的有序乘积内的积分技术,我们在纠缠状态表示中引入了非对称积分投影算子。这些非对称投影算子被证明是 Hermitian。我们严格证明它们对应于奇偶测量与平衡分束器相结合,提供了一种分析奇偶测量信号的替代方法。我们使用我们的方法使用奇偶测量和外来输入重新审视以前的几个方案。这些结果表明我们的工作对于基于奇偶测量的量子计量学是有用的。
更新日期:2021-06-02
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