dorsal/arxiv
View SchemaGaussian Entanglement of Formation
| Authors | M. M. Wolf, G. Giedke, O. Krueger, R. F. Werner, J. I. Cirac |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0306177 |
| URL | https://arxiv.org/abs/quant-ph/0306177 |
| DOI | 10.1103/PhysRevA.69.052320 |
| Journal | Phys. Rev. A 69, 052320 (2004) |
Abstract
We introduce a Gaussian version of the entanglement of formation adapted to bipartite Gaussian states by considering decompositions into pure Gaussian states only. We show that this quantity is an entanglement monotone under Gaussian operations and provide a simplified computation for states of arbitrary many modes. For the case of one mode per site the remaining variational problem can be solved analytically. If the considered state is in addition symmetric with respect to interchanging the two modes, we prove additivity of the considered entanglement measure. Moreover, in this case and considering only a single copy, our entanglement measure coincides with the true entanglement of formation.
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"abstract": "We introduce a Gaussian version of the entanglement of formation adapted to\nbipartite Gaussian states by considering decompositions into pure Gaussian\nstates only. We show that this quantity is an entanglement monotone under\nGaussian operations and provide a simplified computation for states of\narbitrary many modes. For the case of one mode per site the remaining\nvariational problem can be solved analytically. If the considered state is in\naddition symmetric with respect to interchanging the two modes, we prove\nadditivity of the considered entanglement measure. Moreover, in this case and\nconsidering only a single copy, our entanglement measure coincides with the\ntrue entanglement of formation.",
"arxiv_id": "quant-ph/0306177",
"authors": [
"M. M. Wolf",
"G. Giedke",
"O. Krueger",
"R. F. Werner",
"J. I. Cirac"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.69.052320",
"journal_ref": "Phys. Rev. A 69, 052320 (2004)",
"title": "Gaussian Entanglement of Formation",
"url": "https://arxiv.org/abs/quant-ph/0306177"
},
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