Geometry of entanglement witnesses parameterized by SO(3) group

Details Geometry of entanglement witnesses parameterized by SO(3) group Geometry of entanglement witnesses parameterized by SO(3) group

2012-04-21

arxiv.org/abs/1204.4830v1

Physics

Quantum Physics

10 pages

Scientific paper

We characterize a set of positive maps in matrix algebra of 4x4 complex matrices. Equivalently, we provide a subset of entanglement witnesses parameterized by the rotation group SO(3). Interestingly, these maps/witnesses define two intersecting convex cones in the 3-dimensional parameter space. The existence of two cones is related to the topological structure of the underlying orthogonal group. We perform detailed analysis of the corresponding geometric structure.

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