Entanglement condition via su(2) and su(1,1) algebra using Schrödinger-Robertson uncertainty relation

Hyunchul Nha
2007 Physical Review A. Atomic, Molecular, and Optical Physics  
The Schr{\"o}dinger-Robertson inequality generally provides a stronger bound on the product of uncertainties for two noncommuting observables than the Heisenberg uncertainty relation, and as such, it can yield a stricter separability condition in conjunction with partial transposition. In this paper, using the Schr{\"o}dinger-Robertson uncertainty relation, the separability condition previously derived from the su(2) and the su(1,1) algebra is made stricter and refined to a form invariant with
more » ... orm invariant with respect to local phase shifts. Furthermore, a linear optical scheme is proposed to test this invariant separability condition.
doi:10.1103/physreva.76.014305 fatcat:l33e7lqywbhyzj57ueb3ks3cge