A Characterization For Entangled Vectors

Abstract

This article presents a simple characterization for entangled vectors in a finite dimensional Hilbert space $H$. The characterization is in terms of the coefficients of an expansion of the vector relative to an orthonormal basis for $H$. This simple necessary and sufficient condition contains a restriction and we also present a more complicated condition that is completely general. Although these characterizations apply to bipartite systems, we show that generalizations to multipartite systems are also valid.

arXiv comment8 pages

References in corpus (2)

• Quantum entanglement
• Entanglement-induced state ordering under local operations

Cited by in corpus (2)

• A Theory of Entanglement
• Spooky Action at a Distance