Enviar artigo por via de e-mail On Definition of Quantum Tomography via the Sobolev Embedding Theorem
- Autores: Amosov G.1, Korennoy Y.2
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Afiliações:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Lebedev Physical Institute of Russian Academy of Sciences
- Edição: Volume 40, Nº 10 (2019)
- Páginas: 1433-1439
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205623
- DOI: https://doi.org/10.1134/S1995080219100044
- ID: 205623
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Resumo
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.
Sobre autores
G. Amosov
Steklov Mathematical Institute of Russian Academy of Sciences
Autor responsável pela correspondência
Email: gramos@mi-ras.ru
Rússia, Moscow, 119991
Ya. Korennoy
Lebedev Physical Institute of Russian Academy of Sciences
Autor responsável pela correspondência
Email: abc772211@mail.ru
Rússia, Moscow, 119991
