Characterizing entanglement with geometric entanglement witnesses

Details Characterizing entanglement with geometric entanglement witnesses Characterizing entanglement with geometric entanglement witnesses

2008-07-30

arxiv.org/abs/0807.4830v2

J. Phys.A: Math. Theor. 42, 065305 (2009)

Physics

Quantum Physics

19 pages, 4 figures, some typos and notational errors corrected. To be published in J. Phys. A: Math. Theor

Scientific paper

10.1088/1751-8113/42/6/065305

We show how to detect entangled, bound entangled, and separable bipartite quantum states of arbitrary dimension and mixedness using geometric entanglement witnesses. These witnesses are constructed using properties of the Hilbert-Schmidt geometry and can be shifted along parameterized lines. The involved conditions are simplified using Bloch decompositions of operators and states. As an example we determine the three different types of states for a family of two-qutrit states that is part of the "magic simplex", i.e. the set of Bell-state mixtures of arbitrary dimension.

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