On Definition of Quantum Tomography via the Sobolev Embedding Theorem
- Авторы: Amosov G.1, Korennoy Y.2
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Учреждения:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Lebedev Physical Institute of Russian Academy of Sciences
- Выпуск: Том 40, № 10 (2019)
- Страницы: 1433-1439
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205623
- DOI: https://doi.org/10.1134/S1995080219100044
- ID: 205623
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Аннотация
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.
Об авторах
G. Amosov
Steklov Mathematical Institute of Russian Academy of Sciences
Автор, ответственный за переписку.
Email: gramos@mi-ras.ru
Россия, Moscow, 119991
Ya. Korennoy
Lebedev Physical Institute of Russian Academy of Sciences
Автор, ответственный за переписку.
Email: abc772211@mail.ru
Россия, Moscow, 119991
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