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

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Bibliographic Details
Published inChinese physics B Vol. 21; no. 3; pp. 218 - 221
Main Authors Wang, Tong-Tong, Fan, Hong-Yi
Format Journal Article
LanguageEnglish
Published 01.03.2012
Subjects
Construction
Density
Fourier analysis
Fourier transformation
Operators
Quantization
Radon transformation
Radon变换
Representations
Transformations
叶片
密度算符
改造
断层
运营商
量子
魏格纳
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/21/3/034203

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Summary: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.
Bibliography:quantum tomography, Fourier slice transformation, density operator
Wang Tong-Tong and Fan Hong-Yi a） School of Mathematics and Physics, Huangshi Institute of Technology, Huangshi 435003, China b） Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
11-5639/O4
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.
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SourceType-Scholarly Journals-1
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ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/3/034203