Detecting multimode entanglement by symplectic uncertainty relations

Details Detecting multimode entanglement by symplectic uncertainty relations Detecting multimode entanglement by symplectic uncertainty relations

2005-08-31

arxiv.org/abs/quant-ph/0508231v3

J. Opt. Soc. Am. B 24, 347-354 (2007)

Physics

Quantum Physics

8 pages, no figures but one little lemma; more general inequalities derived, GHZ-like states considered; accepted for publicat

Scientific paper

A hierarchy of multimode uncertainty relations on the second moments of n pairs of canonical operators is derived in terms of quantities invariant under linear canonical (i.e. symplectic) transformations. Conditions for the separability of multimode continuous variable states are derived from the uncertainty relations, generalizing the inequalities obtained in [Phys. Rev. Lett. 96, 110402 (2006)] to states with some transposed symplectic eigenvalues equal to 1. Finally, to illustrate the methodology proposed for the detection of continuous variable entanglement, the separability of multimode noisy GHZ-like states is analysed in detail with the presented techniques, deriving a necessary and sufficient condition for the separability of such states under an `even' bipartition of the modes.

Affiliated with

Also associated with

No associations

Rating

Detecting multimode entanglement by symplectic uncertainty relations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Detecting multimode entanglement by symplectic uncertainty relations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Detecting multimode entanglement by symplectic uncertainty relations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-116732