Simplifying Dynamic Quantum Walks for Quantum Gates

Explore the concept of simplifying dynamic quantum walks for quantum gates in this 50-minute conference talk by Tom Wong from Creighton University. Delve into continuous time quantum walks, the Hadamard gate, and general observations on simplifying dynamic quantum walks. Examine a running example to understand the process of simplifying graphs, and learn about parallel and sequential Hadamard gates. Investigate single cubic gates, including those with three graphs, and discover how to add two bit strings in the context of quantum walks. Gain insights from this presentation, part of the Workshop on Algebraic Graph Theory and Quantum Information held at the Fields Institute on August 24, 2021.

Introduction
Continuous time quantum walks
Hadamard gate
Simplifying dynamic quantum walks
General observations
Running example
Simplifying graphs
Parallel Hadamard gates
Sequential Hadamard gates
Single cubic gates
Single cubic gates with 3 graphs
Adding two bit strings