Commutant structure of U⊗(n-1) ⊗ U* transformations

被引：9

作者：

Studzinski, Michal ^{[1
,2
]}

Horodecki, Michal ^{[1
,2
]}

Mozrzymas, Marek ^{[3
]}

机构：

[1] Univ Gdansk, Inst Theoret Phys & Astrophys, PL-80952 Gdansk, Poland

[2] Natl Quantum Informat Ctr Gdansk, PL-81824 Sopot, Poland

[3] Univ Wroclaw, Inst Theoret Phys, PL-50204 Wroclaw, Poland

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2013年 / 46卷 / 39期

基金：

欧洲研究理事会;

关键词：

OPTIMAL PURIFICATION; REPRESENTATIONS; ALGEBRAS; CHARACTERS;

D O I：

10.1088/1751-8113/46/39/395303

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we have found irreducible representations (irreps) of the algebra of partially transposed permutation operators on the last subsystem. We give here the direct method of irreps construction for an arbitrary number of subsystems n and local dimension d. Our method is inspired by the representation theory of the symmetric group S(n), the theory of Brauer algebras and walled Brauer algebras.

引用

页数：31

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