Quantum Phase Estimation: Basics and Applications

This lecture covers the fundamentals of Quantum Phase Estimation (QPE), including the concept of unitary operators on n-qubits and eigenvectors. It explores the estimation task and its applications in quantum computing, focusing on approximations and known eigenvectors. The lecture delves into the challenges of estimating quantum phases accurately and the implications of only having approximate knowledge. Various scenarios are discussed, such as the impact of different digit accuracies and the high probability estimates. The lecture also touches upon the Fourier Transform and its role in QPE, emphasizing the importance of accurate estimations in quantum algorithms.