Entanglement Criteria - Quantum and Topological

Abstract

This paper gives a criterion for detecting the entanglement of a quantum state, and uses it to study the relationship between topological and quantum entanglement. It is fundamental to view topological entanglements such as braids as entanglement operators and to associate to them unitary operators that are capable of creating quantum entanglement. The entanglement criterion is used to explore this connection. The paper discusses non-locality in the light of this criterion.

8 pages, LaTeX, to appear in proceedings of Spie Conference, Orlando, Fla, April 2003