dorsal/arxiv
View SchemaConnecting the generalized robustness and the geometric measure of entanglement
| Authors | Daniel Cavalcanti |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602031 |
| URL | https://arxiv.org/abs/quant-ph/0602031 |
| DOI | 10.1103/PhysRevA.73.044302 |
| Journal | Phys. Rev. A 73, 044302 (2006) |
Abstract
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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"abstract": "The main goal of this paper is to provide a connection between the\ngeneralized robustness of entanglement ($R_g$) and the geometric measure of\nentanglement ($E_{GME}$). First, we show that the generalized robustness is\nalways higher than or equal to the geometric measure. Then we find a tighter\nlower bound to $R_g(\\rho)$ based only on the purity of $\\rho$ and its maximal\noverlap to a separable state. As we will see it is also possible to express\nthis lower bound in terms of $E_{GME}$.",
"arxiv_id": "quant-ph/0602031",
"authors": [
"Daniel Cavalcanti"
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"doi": "10.1103/PhysRevA.73.044302",
"journal_ref": "Phys. Rev. A 73, 044302 (2006)",
"title": "Connecting the generalized robustness and the geometric measure of entanglement",
"url": "https://arxiv.org/abs/quant-ph/0602031"
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