A complete set of covariants of the four qubit system

被引：45

作者：

Briand, E ^{[1
]}

Luque, JG ^{[1
]}

Thibon, JY ^{[1
]}

机构：

[1] Univ Marne La Vallee, Inst Gaspard Monge, F-77454 Marne La Vallee, France

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 38期

关键词：

D O I：

10.1088/0305-4470/36/38/309

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We obtain a complete and minimal set of 170 generators for the algebra of SL(2, C)(x4) covariants of a binary quadrilinear form. Interpreted in terms of a four qubit system, this describes in particular the algebraic varieties formed by the orbits of local filtering operations in its projective Hilbert space. Also, this sheds some light on the local unitary invariants, and provides all the possible building blocks for the construction of entanglement measures for such a system.

引用

页码：9915 / 9927

页数：13

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