On local invariants of pure three-qubit states

被引：109

作者：

Sudbery, A ^{[1
]}

机构：

[1] Univ York, Dept Math, York YO1 5DD, N Yorkshire, England

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2001年 / 34卷 / 03期

关键词：

D O I：

10.1088/0305-4470/34/3/323

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study invariants of three-qubit states under local unitary transformations, i.e. functions on the space of entanglement types, which is known to have dimension six. We show that there is no set of six algebraically independent polynomial invariants of degree less than or equal to 6, and find such a set with maximum degree eight. We describe an intrinsic definition of a canonical state on each orbit, and discuss the (non-polynomial) invariants associated with it.

引用

页码：643 / 652

页数：10

共 26 条

[1] Generalized Schmidt decomposition and classification of three-quantum-bit states [J].

Acín, A ;

Andrianov, A ;

Costa, L ;

Jané, E ;

Latorre, JI ;

Tarrach, R .

PHYSICAL REVIEW LETTERS, 2000, 85 (07) :1560-1563

[2]

ACIN A, 2000, QUANTPH0003050

[3] Multiparticle entanglement [J].

Carteret, HA ;

Linden, N ;

Popescu, S ;

Sudbery, A .

FOUNDATIONS OF PHYSICS, 1999, 29 (04) :527-552

[4] Multipartite generalization of the Schmidt decomposition [J].

Carteret, HA ;

Higuchi, A ;

Sudbery, A .

JOURNAL OF MATHEMATICAL PHYSICS, 2000, 41 (12) :7932-7939

[5] Local symmetry properties of pure three-qubit states [J].

Carteret, HA ;

Sudbery, A .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (28) :4981-5002

[6]

CARTERET HA, 2000, QUANTPH0001091

[7]

CARTERET HA, 2000, QUANTPH0006125

[8]

COFFMAN V, 1999, QUANTPH9907047

[9] Computing local invariants of quantum-bit systems [J].

Grassl, M ;

Rotteler, M ;

Beth, T .

PHYSICAL REVIEW A, 1998, 58 (03) :1833-1839

[10]

GRASSL M, 1999, CAMBR WORKSH COMPL C

← 1 2 3 →