Paper Info
Title
Accurately quantifying the superposition state of two different Laguerre-Gaussian modes with single intensity distribution measurement
Abstract
We develop a method to quantify the superposition state of two different Laguerre-Gaussian modes. By analyzing the characteristics of the intensity distribution obtained in a single measurement, including the petal number, the position and value of the extremum intensity, one can quantify the angular momentum index, the radial node index and the superposition coefficient simultaneously. Experimentally, we measure a series of superposition states, whose angular momentum index ranges from -47 to 53, radial node index from 0 to 3 and superposition weight from 0.1 to 0.9. The average trace distance and the mean fidelity of these states are lower than 0.053 +/- 0.001 and higher than 0.982 +/- 0.002, respectively. Our method can further obtain the superposition coefficient compared with previous mode verification ones and can reduce the number of measurement settings compared with the traditional quantum state tomography, thus more applicable in practice.
Year
DOI
Venue
2022
10.1007/s11128-022-03432-w
QUANTUM INFORMATION PROCESSING
Keywords
DocType
Volume
Quantifying superposition state, Laguerre-Gaussian (LG) modes, Single measurement, Quantum state tomography
Journal
21
Issue
ISSN
Citations 
3
1570-0755
0
PageRank 
References 
Authors
0.34
0
11
Name
Order
Citations
PageRank
Ya Xiao100.34
Haida Liu200.34
Yuewei Song300.34
Qizhi HanZhao400.34
Fengheng Che500.34
Xuan Fan600.68
Xinhong Han700.68
Huichao Qu800.68
Weichen Li900.34
Wendong Li1000.34
Yong-Jian Gu1144.10