The paper "Quantum Estimation for Quantum Technology" by Matteo G. A. Paris reviews the theory of local quantum estimation and presents explicit formulas for the symmetric logarithmic derivative and the quantum Fisher information of relevant families of quantum states. The focus is on quantities of interest in quantum information, such as entanglement and purity, which are nonlinear functions of the density matrix and cannot be directly measured. The paper discusses the optimality of estimators in quantum estimation theory, including the classical Cramer-Rao inequality and its quantum counterpart, the quantum Cramer-Rao bound. It introduces the concept of the quantum Fisher information (QFI) and the Quantum Fisher Information (QFI), which provides a bound on the precision of parameter estimation. The paper also explores the estimability of parameters, defined in terms of the quantum signal-to-noise ratio and the number of measurements required to achieve a given relative error. Examples are provided for unitary families of quantum states and quantum operations, and the geometry of quantum estimation is discussed, highlighting the connection between the Bures metric and the QFI. The analysis has significant implications for the design of quantum information protocols, particularly in estimating entanglement and coupling constants.The paper "Quantum Estimation for Quantum Technology" by Matteo G. A. Paris reviews the theory of local quantum estimation and presents explicit formulas for the symmetric logarithmic derivative and the quantum Fisher information of relevant families of quantum states. The focus is on quantities of interest in quantum information, such as entanglement and purity, which are nonlinear functions of the density matrix and cannot be directly measured. The paper discusses the optimality of estimators in quantum estimation theory, including the classical Cramer-Rao inequality and its quantum counterpart, the quantum Cramer-Rao bound. It introduces the concept of the quantum Fisher information (QFI) and the Quantum Fisher Information (QFI), which provides a bound on the precision of parameter estimation. The paper also explores the estimability of parameters, defined in terms of the quantum signal-to-noise ratio and the number of measurements required to achieve a given relative error. Examples are provided for unitary families of quantum states and quantum operations, and the geometry of quantum estimation is discussed, highlighting the connection between the Bures metric and the QFI. The analysis has significant implications for the design of quantum information protocols, particularly in estimating entanglement and coupling constants.