Email this article On Definition of Quantum Tomography via the Sobolev Embedding Theorem
- Authors: Amosov G.G.1, Korennoy Y.A.2
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Lebedev Physical Institute of Russian Academy of Sciences
- Issue: Vol 40, No 10 (2019)
- Pages: 1433-1439
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205623
- DOI: https://doi.org/10.1134/S1995080219100044
- ID: 205623
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Abstract
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.
About the authors
G. G. Amosov
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: gramos@mi-ras.ru
Russian Federation, Moscow, 119991
Ya. A. Korennoy
Lebedev Physical Institute of Russian Academy of Sciences
Author for correspondence.
Email: abc772211@mail.ru
Russian Federation, Moscow, 119991
