Entangling power of passive optical elements.

@article{Wolf2002EntanglingPO,
  title={Entangling power of passive optical elements.},
  author={Michael M. Wolf and Jens Eisert and Martin Bodo Plenio},
  journal={Physical review letters},
  year={2002},
  volume={90 4},
  pages={
          047904
        }
}
We investigate the entangling capability of passive optical elements, both qualitatively and quantitatively. We present a general necessary and sufficient condition for the possibility of creating distillable entanglement in an arbitrary multimode Gaussian state with the help of passive optical elements, thereby establishing a general connection between squeezing and the entanglement that is attainable by nonsqueezing operations. Special attention is devoted to general two-mode Gaussian states… 

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Humboldt Foundation, the DFG, and the European Union (EQUIP)

  • Humboldt Foundation, the DFG, and the European Union (EQUIP)

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Here we have used that for any symplectic matrix

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Note that the direct sum corresponds to a split between modes rather than to a position/momentum split

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