BYU

Abstract by Paul Bailey

Personal Infomation


Presenter's Name

Paul Bailey

Co-Presenters

None

Degree Level

Undergraduate

Co-Authors

None

Abstract Infomation


Department

Physics and Astronomy

Faculty Advisor

Jean-Francois Van Huele

Title

Schmidt Decomposition: What is it and what is it good for?

Abstract

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.