2002/09/30 by Alonso Botero, Benni Reznik · 2 citations
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1103/physreva.67.052311
published as Phys. Rev. A 67, 052311 (2003) · 4 pages, RevTex4. Replaced with revised version with reference added to a previous related paper. Minor typographical errors corrected
arxiv created 2003/01/16 · arxiv updated 2009/12/01
We address the decomposition of a multi-mode pure Gaussian state with respect to a bi-partite division of the modes. For any such division the state can always be expressed as a product state involving entangled two-mode squeezed states and single mode local states at each side. The character of entanglement of the state can therefore be understood modewise; that is, a given mode on one side is entangled with only one corresponding mode of the other, and therefore the total bi-partite entanglement is the sum of the modewise entanglement. This decomposition is generally not applicable to all mixed Gaussian states. However, the result can be extended to a special family of "isotropic" states, characterized by a phase space covariance matrix with a completely degenerate symplectic spectrum.