Geometry of entanglement witnesses parameterized by SO(3) group

Abstract

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.

arXiv comment10 pages

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Cited by in corpus (5)

• Entanglement witnesses: construction, analysis and classification
• Entanglement witnesses from mutually unbiased bases
• A class of symmetric Bell diagonal entanglement witnesses - a geometric perspective
• On Kossakowski construction of positive maps in matrix algebras
• New tools for investigating positive maps in matrix algebras