Towards the Ultimate Precision Limits: An Introduction to Quantum Metrology

These lectures will focus on quantum metrology, which aims to determine the ultimate precision limits in the estimation of parameters. It also helps to understand some basic problems in quantum physics, like for instance the energy-time uncertainty and its extension to noisy systems. Applications to several systems will be discussed, including phase estimation in optical interferometers, frequency estimation in atomic spectroscopy, force estimation, weak-value amplification, and the quantum speed limit.