Отправить статью по E-mail On the algebra generated by projectors with commutator relation
- Авторы: Kocherova A.1, Zhdanovskiy I.1,2
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Учреждения:
- Moscow Institute of Physics and Technology
- National Research University High School of Economics
- Выпуск: Том 38, № 4 (2017)
- Страницы: 670-687
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199626
- DOI: https://doi.org/10.1134/S1995080217040126
- ID: 199626
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Аннотация
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.
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Об авторах
A. Kocherova
Moscow Institute of Physics and Technology
Автор, ответственный за переписку.
Email: akocherova@yandex.ru
Россия, Institutskii per. 9, Dolgoprudny, Moscow oblast
I. Zhdanovskiy
Moscow Institute of Physics and Technology; National Research University High School of Economics
Email: akocherova@yandex.ru
Россия, Institutskii per. 9, Dolgoprudny, Moscow oblast; ul. Myasnitskaya 20, Moscow
