On Definition of Quantum Tomography via the Sobolev Embedding Theorem
- 作者: Amosov G.1, Korennoy Y.2
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隶属关系:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Lebedev Physical Institute of Russian Academy of Sciences
- 期: 卷 40, 编号 10 (2019)
- 页面: 1433-1439
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205623
- DOI: https://doi.org/10.1134/S1995080219100044
- ID: 205623
如何引用文章
详细
We obtain sufficient conditions on kernels of quantum states under which Wigner functions, optical quantum tomograms and linking their formulas are correctly defined. Our approach is based upon the Sobolev Embedding theorem. The transition probability formula and the fractional Fourier transform are discussed in this framework.
作者简介
G. Amosov
Steklov Mathematical Institute of Russian Academy of Sciences
编辑信件的主要联系方式.
Email: gramos@mi-ras.ru
俄罗斯联邦, Moscow, 119991
Ya. Korennoy
Lebedev Physical Institute of Russian Academy of Sciences
编辑信件的主要联系方式.
Email: abc772211@mail.ru
俄罗斯联邦, Moscow, 119991
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