Witnessed entanglement and the geometric measure of quantum discord

被引：81
|
作者：
Debarba, Tiago [1 ]
Maciel, Thiago O. [1 ]
Vianna, Reinaldo O. [1 ]
机构：
[1] Univ Fed Minas Gerais, Inst Ciencias Exatas, Dept Fis, BR-31270901 Belo Horizonte, MG, Brazil
来源：
PHYSICAL REVIEW A | 2012年 / 86卷 / 02期
关键词：
STATES;
D O I：
10.1103/PhysRevA.86.024302
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We establish relations between geometric quantum discord and entanglement quantifiers obtained by means of optimal witness operators. In particular, we prove a relation between negativity and geometric discord in the Hilbert-Schmidt norm, which has been conjectured before [D. Girolami and G. Adesso, Phys. Rev. A 84, 052110 (2011)]. We also show that, redefining the geometric discord with the trace norm, better bounds can be obtained. We illustrate our results numerically for Werner states and for families of bound entangled states.
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页数：5
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