The development of estimation and control theories for quantum systems is a fundamental
task for practical quantum technology. This vision article presents a brief introduction to …

The control of individual quantum systems is now a reality in a variety of physical settings.
Feedback control is an important class of control methods because of its ability to reduce the …

The measurement sensitivity of quantum probes using N uncorrelated particles is restricted
by the standard quantum limit, which is proportional to 1/N. This limit, however, can be …

In this work we combine two distinct machine learning methodologies, sequential Monte
Carlo and Bayesian experimental design, and apply them to the problem of inferring the …

Quantum metrology can achieve far better precision than classical metrology, and is one of
the most important applications of quantum technologies in the real world. To attain the …

Tracking a randomly varying optical phase is a key task in metrology, with applications in
optical communication. The best precision for optical-phase tracking has until now been …

At its core, quantum mechanics is a theory developed to describe fundamental observations
in the spectroscopy of solids and gases. Despite these practical roots, however, quantum …

We derive a quantum Cramér-Rao bound (QCRB) on the error of estimating a time-changing
signal. The QCRB provides a fundamental limit to the performance of general quantum …

Using a flow chart representation of quantum optomechanical dynamics, we design
coherent quantum-noise-cancellation schemes that can eliminate the backaction noise …

A density matrix ρ (t) yields probabilistic information about the outcome of measurements on
a quantum system. We introduce here the past quantum state, which, at time T, accounts for …