On orthogonal bases in the Hilbert-Schmidt space of matrices

被引：5

作者：

Siewert, Jens ^{[1
,2
,3
]}

机构：

[1] Univ Basque Country, Dept Quim Fis, UPV EHU, E-48080 Bilbao, Spain

[2] Univ Basque Country, EHU Quantum Ctr, UPV EHU, E-48080 Bilbao, Spain

[3] IKERBASQUE Basque Fdn Sci, E-48013 Bilbao, Spain

来源：

JOURNAL OF PHYSICS COMMUNICATIONS | 2022年 / 6卷 / 05期

关键词：

matrix bases; linear algebra; quantum mechanics of finite-dimensional systems; QUANTUM-MECHANICS; ENTANGLEMENT; SEPARABILITY; DUALITY; STATES;

D O I：

10.1088/2399-6528/ac6f43

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Decomposition of (finite-dimensional) operators in terms of orthogonal bases of matrices has been a standard method in quantum physics for decades. In recent years, it has become increasingly popular because of various methodologies applied in quantum information, such as the graph state formalism and the theory of quantum error correcting codes, but also due to the intensified research on the Bloch representation of quantum states. In this contribution we collect various interesting facts and identities that hold for finite-dimensional orthogonal matrix bases.

引用

页数：12

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