On definition of quantum tomography via the Sobolev embedding theorem
Quantum Physics
2019-08-20 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1908.06793,
title = {On definition of quantum tomography via the Sobolev embedding theorem},
author = {G. G. Amosov and Ya. A. Korennoy},
journal= {arXiv preprint arXiv:1908.06793},
year = {2019}
}
Comments
10 pages