On Definition of Quantum Tomography via the Sobolev Embedding Theorem
- Авторлар: Amosov G.1, Korennoy Y.2
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Мекемелер:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Lebedev Physical Institute of Russian Academy of Sciences
- Шығарылым: Том 40, № 10 (2019)
- Беттер: 1433-1439
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205623
- DOI: https://doi.org/10.1134/S1995080219100044
- ID: 205623
Дәйексөз келтіру
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.
Авторлар туралы
G. Amosov
Steklov Mathematical Institute of Russian Academy of Sciences
Хат алмасуға жауапты Автор.
Email: gramos@mi-ras.ru
Ресей, Moscow, 119991
Ya. Korennoy
Lebedev Physical Institute of Russian Academy of Sciences
Хат алмасуға жауапты Автор.
Email: abc772211@mail.ru
Ресей, Moscow, 119991