Mode-Wise Entanglement of Gaussian States

Details Mode-Wise Entanglement of Gaussian States Mode-Wise Entanglement of Gaussian States

2002-09-03

arxiv.org/abs/quant-ph/0209026v4

Phys. Rev. A 67, 052311 (2003)

Physics

Quantum Physics

4 pages, RevTex4. Replaced with revised version with reference added to a previous related paper. Minor typographical errors c

Scientific paper

10.1103/PhysRevA.67.052311

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.

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