Separability criteria for several classes of n-partite quantum states

被引：35

作者：

Gao, T. ^{[1
]}

Hong, Y. ^{[1
]}

机构：

[1] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R China

来源：

EUROPEAN PHYSICAL JOURNAL D | 2011年 / 61卷 / 03期

基金：

中国国家自然科学基金;

关键词：

BELL THEOREM; CRYPTOGRAPHY; INFORMATION;

D O I：

10.1140/epjd/e2010-10432-4

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this paper, we mainly discuss the separability of n-partite quantum states using elements of density matrices. Practical separability criteria for different classes of n-qubit and n-qudit quantum states are obtained. Some of them are also sufficient conditions for genuine entanglement of n-partite quantum states. Moreover, one of the resulting criteria is also necessary and sufficient for a class of n-partite states.

引用

页码：765 / 771

页数：7

共 16 条

[1] TELEPORTING AN UNKNOWN QUANTUM STATE VIA DUAL CLASSICAL AND EINSTEIN-PODOLSKY-ROSEN CHANNELS [J].

BENNETT, CH ;

BRASSARD, G ;

CREPEAU, C ;

JOZSA, R ;

PERES, A ;

WOOTTERS, WK .

PHYSICAL REVIEW LETTERS, 1993, 70 (13) :1895-1899

[2] Quantum information and computation [J].

Bennett, CH ;

DiVincenzo, DP .

NATURE, 2000, 404 (6775) :247-255

[3] QUANTUM CRYPTOGRAPHY WITHOUT BELL THEOREM [J].

BENNETT, CH ;

BRASSARD, G ;

MERMIN, ND .

PHYSICAL REVIEW LETTERS, 1992, 68 (05) :557-559

[4]

CUHNE O, 2009, PHYS REP, V474, P1

[5] Classification of multiqubit mixed states:: Separability and distillability properties -: art. no. 042314 [J].

Dür, W ;

Cirac, JI .

PHYSICAL REVIEW A, 2000, 61 (04) :11-423141

[6] QUANTUM CRYPTOGRAPHY BASED ON BELL THEOREM [J].

EKERT, AK .

PHYSICAL REVIEW LETTERS, 1991, 67 (06) :661-663

[7]

GABRIEL A, ARXIV10022953

[8] Deterministic secure direct communication using GHZ states and swapping quantum entanglement [J].

Gao, T ;

Yan, FL ;

Wang, ZX .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (25) :5761-5770

[9] Separability criteria for genuine multiparticle entanglement [J].

Guehne, Otfried ;

Seevinck, Michael .

NEW JOURNAL OF PHYSICS, 2010, 12

[10] Separability of mixed states: Necessary and sufficient conditions [J].

Horodecki, M ;

Horodecki, P ;

Horodecki, R .

PHYSICS LETTERS A, 1996, 223 (1-2) :1-8

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