Bayesian adaptive estimation
Each measurement updates what is known about an unknown parameter.
$$p(\theta\mid D)\propto p(D\mid\theta)p(\theta)$$
Physical intuition
Each measurement updates what is known about an unknown parameter.
Deep dive: physical mechanism
Choose the next interrogation time or phase based on the posterior distribution to reduce ambiguity and optimize information gain.
What is measured experimentally?
Posterior credible intervals shrink with informative data.
Assumptions, noise and limitations
Prior assumptions and computational approximations influence the result.
Research and simulation exercise
Implement sequential Bayesian Ramsey phase estimation.
Connect the ideas
Explore the chapter overview, learning path, and references.