2010/11/24 by Jiehui Huang, Jie-Hui Huang, Shi-Yao Zhu +3
Engineering · Physics and Astronomy · #Advanced Fiber Optic Sensors #Advanced Measurement and Metrology Techniques #FOS: Physical sciences #Optics (physics.optics) #Quantum Physics (quant-ph) #physics.optics #quant-ph
paper · pdf · doi:10.48550/arxiv.1011.5273
12 pages, 2 figures
arxiv created 2010/11/24 · openalex publication_date 2010/11/24 · arxiv updated 2010/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In terms of operator, the two complementary quantities, the predictability and visibility, are reinvestigated in a two-way interferometer. One Hermitian operator and one non-Hermitian operator (composed of two Hermitian operators) are introduced for the predictability and visibility, respectively. The predictability and visibility can not be measured exactly simultaneously, due to the non-commutation between the two operators. The sum of the variances of the predictability and visibility (the total variance), is used to measure the uncertainty, which is linked to the complementarity relation through the equation, (δP)2+(δVf)2+P2+V2=2 . This new description for the predictability and visibility connects the complementarity and the uncertainty relations, although neither of them can be derived directly from the other.