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

References in corpus (2)

• Comparing Quantum Entanglement and Topological Entanglement
• Unitary Solutions to the Yang-Baxter Equation in Dimension Four

Cited by in corpus (13)

• Teleportation Topology
• Quantum Knots
• Teleportation, Braid Group and Temperley--Lieb Algebra
• Yang-Baxter operators need quantum entanglement to distinguish knots
• $q$ - Deformed Spin Networks, Knot Polynomials and Anyonic Topological Quantum Computation
• Entanglement Classification from a Topological Perspective
• On a suggestion relating topological and quantum mechanical entanglements
• Quantum Diagrams and Quantum Networks
• The Yang-Baxter equation, Quantum computing and Quantum entanglement
• Majorana fermions solve the tetrahedron equations as well as higher simplex equations
• A note on "eight-vertex" universal quantum gates
• Universal Quantum Gate, Yang--Baxterization and Hamiltonian
• Yang--Baxterizations, Universal Quantum Gates and Hamiltonians