Entanglement criteria based on local uncertainty relations are strictly stronger than the computable cross norm criterion

Details Entanglement criteria based on local uncertainty relations are strictly stronger than the computable cross norm criterion Entanglement criteria based on local uncertainty relations are strictly stronger than the computable cross norm criterion

2006-04-10

arxiv.org/abs/quant-ph/0604050v2

Phys. Rev. A 74, 010301(R) (2006)

Physics

Quantum Physics

4 pages, no figure, v2: small changes

Scientific paper

10.1103/PhysRevA.74.010301

We show that any state which violates the computable cross norm (or
realignment) criterion for separability also violates the separability
criterion of the local uncertainty relations. The converse is not true. The
local uncertainty relations provide a straightforward construction of nonlinear
entanglement witnesses for the cross norm criterion.

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