Quantum and Quantum-Inspired Linear Algebra - Part 4

Explore quantum-inspired linear algebra in this lecture from the 2023 PCMI Graduate Summer School, where University of Washington's Ewin Tang delves into the unified framework of quantum singular value transformation (QSVT). Learn how this powerful linear algebraic framework connects various quantum algorithms, discover essential polynomial approximation tools for its application, and understand its potential impact on quantum algorithm design. Examine how QSVT can be leveraged to achieve quantum speedups in data analysis, machine learning, and quantum simulation. Access comprehensive lecture notes and problem sets to reinforce understanding of this cutting-edge topic, presented as part of a broader program exploring quantum computation's mathematical foundations and near-term quantum computing advances.