Tight Bounds for the Entanglement of Formation of Gaussian States

Abstract

We establish tight upper and lower bounds for the Entanglement of Formation of an arbitrary two-mode Gaussian state employing necessary properties of Gaussian channels. Both bounds are strictly given by the Entanglement of Formation of symmetric Gaussian states, which are simply constructed from the reduced states obtained by partial trace of the original one.

4 pages, 1 figure

References in corpus (4)

• Entanglement in continuous variable systems: Recent advances and current perspectives
• Symplectic invariants, entropic measures and correlations of Gaussian states
• Multi-mode bosonic Gaussian channels
• Entanglement of formation for an arbitrary two-mode Gaussian state

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