An introduction to Quantum Topological Data Analysis

Quantum Scientific Computation and Quantum Artificial Intelligence

Organizer：

Jin-Peng Liu 刘锦鹏

Speaker：

Junkai Wang

Time：

Thur., 13:30-15:00, Jan. 9, 2025

Venue：

B626, Shuangqing Complex Building A

Title:

An introduction to Quantum Topological Data Analysis

Abstract：

As the last talk this semester, we will delve into the topic of "Quantum Topological Data Analysis" (QTDA), a nascent quantum-accelerated algorithm designed to extract robust multi-scale information, with the potential to avoid challenges from dequantization.

The talk will begin with a friendly introduction to fundamental concepts in algebrabic topology and homology theory, followed by an explanation of classical Topological Data Analysis and Persistent Homology method. After establishing that foundational background, we'll formally present Quantum TDA proposed by Leylod et al. and its subsequent developments. Accessible examples and codes will be provided, and then the talk will conclude with some possible discussion.