Connecting the generalized robustness and the geometric measure of entanglement

被引：33

作者：

Cavalcanti, D ^{[1
]}

机构：

[1] Univ Fed Minas Gerais, Dept Fis, BR-30123970 Belo Horizonte, MG, Brazil

来源：

PHYSICAL REVIEW A | 2006年 / 73卷 / 04期

关键词：

D O I：

10.1103/PhysRevA.73.044302

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The main goal of this paper is to provide a connection between the generalized robustness of entanglement (R-g) and the geometric measure of entanglement (E-GME). First, we show that the generalized robustness is always higher than or equal to the geometric measure. Then we find a tighter lower bound to R-g(rho) based only on the purity of rho and its maximal overlap to a separable state. As we will see it is also possible to express this lower bound in terms of E-GME.

引用

页数：4

共 36 条

[1] Entanglement cost under positive-partial-transpose-preserving operations - art. no. 0279015 [J].

Audenaert, K ;

Plenio, MB ;

Eisert, J .

PHYSICAL REVIEW LETTERS, 2003, 90 (02) :4

[2] Monotones and invariants for multi-particle quantum states [J].

Barnum, H ;

Linden, N .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (35) :6787-6805

[3] 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

[4]

Bennett CH, 1996, PHYS REV A, V54, P3824, DOI 10.1103/PhysRevA.54.3824

[5]

BRANDAO FGS, QUANTPH0510078

[6] Separable multipartite mixed states: Operational asymptotically necessary and sufficient conditions [J].

Brandao, FGSL ;

Vianna, RO .

PHYSICAL REVIEW LETTERS, 2004, 93 (22)

[7] Quantifying entanglement with witness operators [J].

Brandao, FGSL .

PHYSICAL REVIEW A, 2005, 72 (02)

[8] Are all maximally entangled states pure? art. no. 040303 [J].

Cavalcanti, D ;

Brandao, FGSL ;

Cunha, MOT .

PHYSICAL REVIEW A, 2005, 72 (04)

[9]

CAVALCANTI D, QUANTPH0510068

[10]

CAVALCANTI D, QUANTPH05101032

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