Connecting the generalized robustness and the geometric measure of entanglement

Details Connecting the generalized robustness and the geometric measure of entanglement Connecting the generalized robustness and the geometric measure of entanglement

2006-02-02

arxiv.org/abs/quant-ph/0602031v4

Phys. Rev. A 73, 044302 (2006)

Physics

Quantum Physics

4 pages, 2 figures. Comments welcome. v2: text improved - some completely symmetric states were used to illustrate the results

Scientific paper

10.1103/PhysRevA.73.044302

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 $E_{GME}$.

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