The Fourier slice transformation of the Wigner operator and the quantum tomogram of the density operator  

The Fourier slice transformation of the Wigner operator and the quantum tomogram of the density operator

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作  者:王彤彤 范洪义 

机构地区:[1]School of Mathematics and Physics,Huangshi Institute of Technology [2]Department of Material Science and Engineering,University of Science and Technology of China

出  处:《Chinese Physics B》2012年第3期218-221,共4页中国物理B(英文版)

基  金:Project supported by the Natural Science Foundation of Huangshi Institute of Technology,China (Grant No. 10yjz03R);the National Natural Science Foundation of China (Grant No. 10874174)

摘  要:Using the Weyl quantization scheme and based on the Fourier slice transformation (FST) of the Wigner operator, we construct a new expansion formula of the density operator p, with the expansion coefficient being the FST of p's classical Weyl correspondence, and the latter the Fourier transformation of p's quantum tomogram. The coordinate momentum intermediate representation is used as the Radon transformation of the Wigner operator.Using the Weyl quantization scheme and based on the Fourier slice transformation (FST) of the Wigner operator, we construct a new expansion formula of the density operator p, with the expansion coefficient being the FST of p's classical Weyl correspondence, and the latter the Fourier transformation of p's quantum tomogram. The coordinate momentum intermediate representation is used as the Radon transformation of the Wigner operator.

关 键 词:quantum tomography Fourier slice transformation density operator 

分 类 号:O413.1[理学—理论物理]

 

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