A new approach to the Cramér-Rao-type bound of the pure-state model

DOI10.1088/0305-4470/35/13/307zbMath1045.81012arXivquant-ph/9711008OpenAlexW3101249109MaRDI QIDQ4465618

No author found.

Publication date: 9 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/9711008

Mathematics Subject Classification ID

Quantum computation (81P68) Quantum measurement theory, state operations, state preparations (81P15) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items

Taming singularities of the quantum Fisher information ⋮ Uncertainty relation for estimating the position of an electron in a uniform magnetic field from quantum estimation theory ⋮ A comparative study of estimation methods in quantum tomography ⋮ Uncertainty and trade-offs in quantum multiparameter estimation ⋮ An upper bound on the number of compatible parameters in simultaneous quantum estimation ⋮ QUANTUM STATE ESTIMATION AND LARGE DEVIATIONS ⋮ Duality versus dual flatness in quantum information geometry ⋮ Quantum local asymptotic normality based on a new quantum likelihood ratio ⋮ Attaining the ultimate precision limit in quantum state estimation ⋮ Simultaneous multiple angular displacement estimation precision enhanced by the intramode correlation ⋮ GHZ states as near-optimal states for reference frame alignment ⋮ Quantum Enhanced Estimation of a Multidimensional Field ⋮ Quantum-like correlation of two-qubit open system in the Markovian regime ⋮ Quantum enhanced metrology of Hamiltonian parameters beyond the Cramèr–Rao bound ⋮ QUANTUM STATE ESTIMATION AND LARGE DEVIATIONS ⋮ A perspective on multiparameter quantum metrology: from theoretical tools to applications in quantum imaging ⋮ Multiparameter quantum metrology with postselection measurements ⋮ Optimal estimation of qubit states with continuous time measurements ⋮ On Quantum Statistical Inference ⋮ Explicit formula for the Holevo bound for two-parameter qubit-state estimation problem ⋮ Maximum logarithmic derivative bound on quantum state estimation as a dual of the Holevo bound ⋮ Asymptotic performance of optimal state estimation in qubit system ⋮ Quantum Fisher information matrix in Heisenberg \(XY\) model ⋮ Quantum Fisher information matrix and multiparameter estimation ⋮ Multi-parameter estimation beyond quantum Fisher information ⋮ Multiparameter quantum estimation theory in quantum Gaussian states ⋮ Quantum state estimation with nuisance parameters ⋮ Non-orthogonal bases for quantum metrology ⋮ On the properties of the asymptotic incompatibility measure in multiparameter quantum estimation