Topological Tensor Products and Quantum Entanglement

Quantum Entanglement belongs to one of the most interesting and promising phenomena in today's quantum information sciences. Although being known for several decades, its intriguing features are still insufficiently understood. This work is intended to tackle this problem using the mathematical tool of topological tensor products. With this approach several important results on quantum entanglement of distinguishable and indistinguishable particles are proven including sophisticated aspects related to Schmidt numbers, Slater numbers and genuine multipartite entanglement. The work is supplemented by an introduction to the mathematical background of topological tensor products, which may serve as an extensive reference in its on right.