Characterizing Entanglement via Uncertainty Relations

Details Characterizing Entanglement via Uncertainty Relations Characterizing Entanglement via Uncertainty Relations

2003-06-28

arxiv.org/abs/quant-ph/0306194v2

Phys. Rev. Lett. 92, 117903 (2004)

Physics

Quantum Physics

4 pages, no figures. v2: Some discussion added, main results unchanged

Scientific paper

10.1103/PhysRevLett.92.117903

We derive a family of necessary separability criteria for finite-dimensional systems based on inequalities for variances of observables. We show that every pure bipartite entangled state violates some of these inequalities. Furthermore, a family of bound entangled states and true multipartite entangled states can be detected. The inequalities also allow to distinguish between different classes of true tripartite entanglement for qubits. We formulate an equivalent criterion in terms of covariance matrices. This allows us to apply criteria known from the regime of continuous variables to finite-dimensional systems.

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