Operator Analogy of Quantum Pseudo-Logic
- Authors: Matvejchuk M.1
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Affiliations:
- Kazan National Research Technical University
- Issue: Vol 39, No 1 (2018)
- Pages: 104-113
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/201026
- DOI: https://doi.org/10.1134/S1995080218010195
- ID: 201026
Cite item
Abstract
In this paper, we study linear operators on real and complex Euclidean spaces which are real-orthogonal projections. It is a generalization of such standard (complex) orthogonal projections for which only the real part of scalar product vanishes. We note the difference between properties of real-orthogonal projections on real and on complex spaces. We can compare some partial order properties of orthogonal and of real-orthogonal projections. We prove that the set of all real-orthogonal projections in a finite-dimensional complex or real space is a quantum pseudo-logic.
Keywords
About the authors
M. Matvejchuk
Kazan National Research Technical University
Author for correspondence.
Email: Marjan.Matvejchuk@yandex.ru
Russian Federation, ul. Karla Marksa 10, Kazan, 420111
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