电邮这篇文章 Algebras of Projectors and Mutually Unbiased Bases in Dimension 7
- 作者: Zhdanovskiy I.Y.1,2, Kocherova A.S.1
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隶属关系:
- Moscow Institute of Physics and Technology (State University)
- National Research University “High School of Economics, Laboratory of Algebraic Geometry
- 期: 卷 241, 编号 2 (2019)
- 页面: 125-157
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242868
- DOI: https://doi.org/10.1007/s10958-019-04413-8
- ID: 242868
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详细
We apply methods of the representation theory, combinatorial algebra, and noncommutative geometry to various problems of quantum tomography. We introduce the algebra of projectors that satisfy a certain commutation relation, examine this relation by combinatorial methods, and develop the representation theory of this algebra. We also present a geometrical interpretation of our problem and apply the results obtained to the description of the Petrescu family of mutually unbiased bases in dimension 7.
作者简介
I. Zhdanovskiy
Moscow Institute of Physics and Technology (State University); National Research University “High School of Economics, Laboratory of Algebraic Geometry
编辑信件的主要联系方式.
Email: ijdanov@mail.ru
俄罗斯联邦, Moscow; Moscow
A. Kocherova
Moscow Institute of Physics and Technology (State University)
Email: ijdanov@mail.ru
俄罗斯联邦, Moscow
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