Quantum Fourier Transform Beyond Shor's Algorithm - Part 2

Explore advanced applications of Quantum Fourier Transform (QFT) in this lecture from the PCMI Graduate Summer School series on Quantum Computation. Delve into modern implementations that extend beyond the traditional hidden subgroup problem framework of Shor's algorithm. Learn about Jordan's gradient computation algorithm and its applications in convex optimization, distribution learning, and quantum tomography. Examine recent improvements to phase estimation, including bias removal and coherent boosting techniques. Study QFT from the Heisenberg picture perspective, understanding operator Fourier transform and its quantum computing implications. Access comprehensive lecture notes and problem sets to reinforce understanding of these advanced quantum computing concepts through guided exercises and practical applications.