Concurrence Vectors for Entanglement of High-dimensional Systems
Li, Y Q, Zhu, G Q · CERN Document Server (European Organization for Nuclear Research) · 2003
The concurrence vectors are proposed by employing the fundamental representation of $A_n$ Lie algebra, which provides a clear criterion to evaluate the entanglement of bipartite system of arbitrary dimension. A state is separable if the norm of its concurrence vector vanish. The sign situation of the nonzero components of concurrence vectors of entangled bases presents a simple criterion for whether the whole Hilbert subspace spanned by those bases is of entangled, or there exists entanglement edge in the subspace. Concurrence surfaces are observed for several concrete examples.