This review aims at gathering the most relevant quantum multi-parameter estimation
methods that go beyond the direct use of the quantum Fisher information concept. We …

The simultaneous quantum estimation of multiple parameters can provide a better precision
than estimating them individually. This is an effect that is impossible classically. We review …

Simultaneous estimation of multiple parameters in quantum metrological models is
complicated by factors relating to the (i) existence of a single probe state allowing for optimal …

Stability selection was recently introduced by Meinshausen and Bühlmann as a very general
technique designed to improve the performance of a variable selection algorithm. It is based …

In this article we derive a measure of quantumness in quantum multi-parameter estimation
problems. We can show that the ratio between the mean Uhlmann curvature and the Fisher …

Only with the simultaneous estimation of multiple parameters are the quantum aspects of
metrology fully revealed. This is due to the incompatibility of observables. The fundamental …

We investigate the ultimate precision achievable in Gaussian quantum metrology. We derive
general analytical expressions for the quantum Fisher information matrix and for the …

In the study of quantum limits to parameter estimation, the high dimensionality of the density
operator and that of the unknown parameters have long been two of the most difficult …

The quantum multiparameter estimation is very different from the classical multiparameter
estimation due to Heisenberg's uncertainty principle in quantum mechanics. When the …

A longstanding problem in quantum metrology is how to extract as much information as
possible in realistic scenarios with not only multiple unknown parameters, but also limited …