Tuesday, April 24, 2012

1204.4830 (Dariusz Chruściński et al.)

Geometry of entanglement witnesses parameterized by SO(3) group    [PDF]

Dariusz Chruściński, Filip A. Wudarski
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.
View original: http://arxiv.org/abs/1204.4830

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