Schmidt decomposition and analysis of statistical correlations
- Autores: Bogdanov Y.1,2,3, Bogdanova N.1,2, Lukichev V.1, Fastovets D.1,2, Chernyavskii A.1,4
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Afiliações:
- Institute of Physics and Technology
- National Research University of Electronic Technology MIET
- Moscow National Research Nuclear University MEPhI
- Moscow State University
- Edição: Volume 45, Nº 5 (2016)
- Páginas: 314-323
- Seção: Article
- URL: https://journals.rcsi.science/1063-7397/article/view/185729
- DOI: https://doi.org/10.1134/S1063739716050036
- ID: 185729
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Resumo
The new correlation data analysis method based on the complements of classical probability distribution to quantum state and Schmidt decomposition is presented. It is shown that mathematical methods of quantum mechanics allow us to develop new effective tools for the analysis of statistical dependences and relationships. The presented formalism is the natural approach for the analysis of both classical and quantum correlations. Algorithms of the calculation of partial and multiple correlation coefficients using Schmidt numbers were studied. Numerical estimates of these correlation coefficients were calculated for different probability distributions and quantum states.
Sobre autores
Yu. Bogdanov
Institute of Physics and Technology; National Research University of Electronic Technology MIET; Moscow National Research Nuclear University MEPhI
Email: fast93@mail.ru
Rússia, Moscow; Moscow; Moscow
N. Bogdanova
Institute of Physics and Technology; National Research University of Electronic Technology MIET
Email: fast93@mail.ru
Rússia, Moscow; Moscow
V. Lukichev
Institute of Physics and Technology
Email: fast93@mail.ru
Rússia, Moscow
D. Fastovets
Institute of Physics and Technology; National Research University of Electronic Technology MIET
Autor responsável pela correspondência
Email: fast93@mail.ru
Rússia, Moscow; Moscow
A. Chernyavskii
Institute of Physics and Technology; Moscow State University
Email: fast93@mail.ru
Rússia, Moscow; Moscow