Witnessed entanglement and the geometric measure of quantum discord
Witnessed entanglement and the geometric measure of quantum discord
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DOI：
10.1103/physreva.86.024302
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发表时间：
2012-07
影响因子：
2.9
通讯作者：
Tiago Debarba;T. O. Maciel;R. Vianna
中科院分区：
文献类型：
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作者：
Tiago Debarba;T. O. Maciel;R. Vianna
我们建立了几何量子不和谐和纠缠量子数之间的关系，通过最佳见证算子。特别地，我们证明了在Hilbert-Schmidt范数下，负性与几何不协调之间的关系，这与以前的一个证明略有不同[Phys. Rev. A 84，052110（2011）].我们还证明了，用迹范数重新定义几何不协调，可以得到更好的界.我们用数字说明了我们的结果。
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 is slightly different from a previous conjectured one [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.