This paper gives an overview of parameter estimation and system identification for quantum
input–output systems by continuous observation of the output field. We present recent …

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

Squeezing currently represents the leading strategy for quantum enhanced precision
measurements of a single parameter in a variety of continuous-and discrete-variable …

The estimation of more than one parameter in quantum mechanics is a fundamental
problem with relevant practical applications. In fact, the ultimate limits in the achievable …

Uncertainty relations in quantum mechanics express bounds on our ability to simultaneously
obtain knowledge about expectation values of non-commuting observables of a quantum …

The major problem of multiparameter quantum estimation theory is to find an ultimate
measurement scheme to go beyond the standard quantum limits that each quasi-classical …

In quantum estimation theory, the Holevo bound is known as a lower bound of weighted
traces of covariances of unbiased estimators. The Holevo bound is defined by a solution of a …

Quantum Parameter Estimation in the Laboratory by Hugo Ferretti A thesis submitted in
conformity with the requirements for the d Page 1 Quantum Parameter Estimation in the …

Using differential geometry, I derive a form of the Bayesian Cramér-Rao bound that remains
invariant under reparametrization. With the invariant formulation at hand, I find the optimal …

Quantum estimation theory is a reformulation of random statistical theory with the modern
language of quantum mechanics. In fact, the density operator plays a role similar to that of …