Schmidt decomposition and analysis of statistical correlations
- 作者: Bogdanov Y.1,2,3, Bogdanova N.1,2, Lukichev V.1, Fastovets D.1,2, Chernyavskii A.1,4
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隶属关系:
- Institute of Physics and Technology
- National Research University of Electronic Technology MIET
- Moscow National Research Nuclear University MEPhI
- Moscow State University
- 期: 卷 45, 编号 5 (2016)
- 页面: 314-323
- 栏目: Article
- URL: https://journals.rcsi.science/1063-7397/article/view/185729
- DOI: https://doi.org/10.1134/S1063739716050036
- ID: 185729
如何引用文章
详细
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.
作者简介
Yu. Bogdanov
Institute of Physics and Technology; National Research University of Electronic Technology MIET; Moscow National Research Nuclear University MEPhI
Email: fast93@mail.ru
俄罗斯联邦, Moscow; Moscow; Moscow
N. Bogdanova
Institute of Physics and Technology; National Research University of Electronic Technology MIET
Email: fast93@mail.ru
俄罗斯联邦, Moscow; Moscow
V. Lukichev
Institute of Physics and Technology
Email: fast93@mail.ru
俄罗斯联邦, Moscow
D. Fastovets
Institute of Physics and Technology; National Research University of Electronic Technology MIET
编辑信件的主要联系方式.
Email: fast93@mail.ru
俄罗斯联邦, Moscow; Moscow
A. Chernyavskii
Institute of Physics and Technology; Moscow State University
Email: fast93@mail.ru
俄罗斯联邦, Moscow; Moscow