Details
| Original language | English |
|---|---|
| Pages (from-to) | 052320 |
| Number of pages | 1 |
| Journal | Phys. Rev. A |
| Volume | 69 |
| Issue number | 5 |
| Publication status | Published - 2004 |
Abstract
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In: Phys. Rev. A, Vol. 69, No. 5, 2004, p. 052320.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Gaussian entanglement of formation
AU - Wolf, M. M.
AU - Giedke, G
AU - Krüger, Ole
AU - Werner, R. F.
AU - Cirac, J. I.
N1 - Funding information: G.G. and M.M.W. thank Pranaw Rungta for interesting discussion during the ESF QIT conference in Gdansk. Funding by the European Union project QUPRODIS and the German National Academic (O.K.) and financial support by the A2 and A8 consortia are gratefully acknowledged.
PY - 2004
Y1 - 2004
N2 - 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.
AB - 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.
U2 - 10.1103/PhysRevA.69.052320
DO - 10.1103/PhysRevA.69.052320
M3 - Article
VL - 69
SP - 052320
JO - Phys. Rev. A
JF - Phys. Rev. A
SN - 2469-9934
IS - 5
ER -