Gaussian Entanglement of Formation

Details Gaussian Entanglement of Formation Gaussian Entanglement of Formation

2003-06-25

arxiv.org/abs/quant-ph/0306177v2

Phys. Rev. A 69, 052320 (2004)

Physics

Quantum Physics

8 pages (references updated, typos corrected)

Scientific paper

10.1103/PhysRevA.69.052320

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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