On the algebra generated by projectors with commutator relation
- Авторлар: Kocherova A.1, Zhdanovskiy I.1,2
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Мекемелер:
- Moscow Institute of Physics and Technology
- National Research University High School of Economics
- Шығарылым: Том 38, № 4 (2017)
- Беттер: 670-687
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199626
- DOI: https://doi.org/10.1134/S1995080217040126
- ID: 199626
Дәйексөз келтіру
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.
Негізгі сөздер
Авторлар туралы
A. Kocherova
Moscow Institute of Physics and Technology
Хат алмасуға жауапты Автор.
Email: akocherova@yandex.ru
Ресей, 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
Ресей, Institutskii per. 9, Dolgoprudny, Moscow oblast; ul. Myasnitskaya 20, Moscow