Modewise entanglement of Gaussian states

Alonso Botero*, Benni Reznik

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We address the decomposition of a multimode pure Gaussian state with respect to a bipartite 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 bipartite 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.

Original languageEnglish
Pages (from-to)5
Number of pages1
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume67
Issue number5
DOIs
StatePublished - 2003

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