Description
Topology is one of the latest branches in the history of mathematics and has entered fully into the most modern aspects of theoretical physics: quantum computation. This talk presents an overview of topological color codes as a solution for fault-tolerant quantum computing. Topology helps address the fundamental challenge of quantum computation: overcoming its inherent fragility to harness its enormous potential. After demonstrating the experimental realization of color codes across three quantum computing platforms—trapped ions with high-fidelity operations, cold atoms offering scalable architectures, and superconducting circuits providing fast gate times—we address the remaining challenges toward realizing fault-tolerant quantum computers capable of executing practical quantum algorithms.
