A numerical methodists adventure in the land of quantum computing

In this talk we will: 1. Introducing the most basic concepts in quantum computing. 2. Briefly highlight examples of quantum algorithms where the skills of an (numerical) analyst can be of use. 3. Describe one type of quantum computing hardware (a transmon) and how it is modeled. 4. Time permitting, we then turn to the simulation of open quantum systems and show how to design high order accurate methods that exploit low rank structure in the density matrix while respecting the essential structure of the Lindblad equation. Our methods preserve complete positivity and are trace preserving.

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