电邮这篇文章 On the algebra generated by projectors with commutator relation
- 作者: Kocherova A.1, Zhdanovskiy I.1,2
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隶属关系:
- Moscow Institute of Physics and Technology
- National Research University High School of Economics
- 期: 卷 38, 编号 4 (2017)
- 页面: 670-687
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199626
- DOI: https://doi.org/10.1134/S1995080217040126
- ID: 199626
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详细
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.
作者简介
A. Kocherova
Moscow Institute of Physics and Technology
编辑信件的主要联系方式.
Email: akocherova@yandex.ru
俄罗斯联邦, 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
俄罗斯联邦, Institutskii per. 9, Dolgoprudny, Moscow oblast; ul. Myasnitskaya 20, Moscow
