Email this article On the algebra generated by projectors with commutator relation
- Authors: Kocherova A.S.1, Zhdanovskiy I.Y.1,2
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Affiliations:
- Moscow Institute of Physics and Technology
- National Research University High School of Economics
- Issue: Vol 38, No 4 (2017)
- Pages: 670-687
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199626
- DOI: https://doi.org/10.1134/S1995080217040126
- ID: 199626
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Abstract
In this article we apply methods of representation theory and combinatorial algebra to the different problems related to quantum tomography. For this purpose, we introduce the algebra generated by projectors satisfying some commutator relation. In this paper we study this commutator relation by combinatorialmethods and develop the representation theory of this algebra. Also, we apply our results to the case of mutually unbiased bases in dimension 7.
About the authors
A. S. Kocherova
Moscow Institute of Physics and Technology
Author for correspondence.
Email: akocherova@yandex.ru
Russian Federation, Institutskii per. 9, Dolgoprudny, Moscow oblast
I. Yu. Zhdanovskiy
Moscow Institute of Physics and Technology; National Research University High School of Economics
Email: akocherova@yandex.ru
Russian Federation, Institutskii per. 9, Dolgoprudny, Moscow oblast; ul. Myasnitskaya 20, Moscow
