Multimode uncertainty relations and separability of continuous variable states

Details Multimode uncertainty relations and separability of continuous variable states Multimode uncertainty relations and separability of continuous variable states

2006-08-17

arxiv.org/abs/quant-ph/0608136v1

Phys. Rev. Lett. 96, 110402 (2006)

Physics

Quantum Physics

4 pages, no figures; shorter version of a longer version (see quant-ph/0508231), published

Scientific paper

10.1103/PhysRevLett.96.110402

A multimode uncertainty relation (generalising the Robertson-Schroedinger relation) is derived as a necessary constraint on the second moments of n pairs of canonical operators. In turn, necessary conditions for the separability of multimode continuous variable states under (m+n)-mode bipartitions are derived from the uncertainty relation. These conditions are proven to be necessary and sufficient for (1+n)-mode Gaussian states and for (m+n)-mode bisymmetric Gaussian states.

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