Schmidt decomposition and analysis of statistical correlations

Schmidt decomposition and analysis of statistical correlations 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Russian Microelectronics Springer Journals

Schmidt decomposition and analysis of statistical correlations

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Publisher
Pleiades Publishing
Copyright
Copyright © 2016 by Pleiades Publishing, Ltd.
Subject
Engineering; Electrical Engineering
ISSN
1063-7397
eISSN
1608-3415
D.O.I.
10.1134/S1063739716050036
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Russian MicroelectronicsSpringer Journals

Published: Sep 16, 2016

References

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