A class of positive atomic maps

Abstract

We construct a new class of positive indecomposable maps in the algebra of `d x d' complex matrices. These maps are characterized by the `weakest' positivity property and for this reason they are called atomic. This class provides a new reach family of atomic entanglement witnesses which define important tool for investigating quantum entanglement. It turns out that they are able to detect states with the `weakest' quantum entanglement.

15 pages

References in corpus (3)

• On circulant states with positive partial transpose
• Entanglement in SO(3)-invariant bipartite quantum systems
• State space structure and entanglement of rotationally invariant spin systems

Cited by in corpus (2)

• Structural approximations to positive maps and entanglement breaking channels
• Spectral conditions for positive maps