Abstract by Paul Bailey
Physics and Astronomy
Jean-Francois Van Huele
Schmidt Decomposition: What is it and what is it good for?
Tensor products are commonly used in quantum mechanics to describe multipartite systems, systems made up of multiple subsystems. The multipartite system is described as a tensor product of its parts. The Schmidt decomposition is a method of representing a bipartite system as a simple sum of tensor products. Surprisingly, in the Schmidt decomposition the number of terms in the product space follows the dimensionality of the smaller of the two sub-spaces. This minimalistic superposition makes the Schmidt decomposition useful for describing quantum mechanical systems. In my presentation, I will review the Schmidt decomposition and explore its quantum informational applications.