Attaining the ultimate precision limit in quantum state estimation

DOI10.1007/s00220-019-03433-4OpenAlexW2788810509WikidataQ127996381 ScholiaQ127996381MaRDI QIDQ2415331

Giulio Chiribella, Masahito Hayashi, Yuxiang Yang

Publication date: 21 May 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.07587

Mathematics Subject Classification ID

Point estimation (62F10) Quantum computation (81P68) Quantum measurement theory, state operations, state preparations (81P15) Quantum state spaces, operational and probabilistic concepts (81P16) Quantum state estimation, approximate cloning (81P50) Quantum state tomography, quantum state discrimination (81P18)

Related Items (12)

Quantum-state estimation problem via optimal design of experiments ⋮ Nuisance parameter problem in quantum estimation theory: tradeoff relation and qubit examples ⋮ Noncommutative Lebesgue decomposition and contiguity with applications in quantum statistics ⋮ The Hammersley-Chapman-Robbins inequality for repeatedly monitored quantum system ⋮ A perspective on multiparameter quantum metrology: from theoretical tools to applications in quantum imaging ⋮ Ultimate precision of joint parameter estimation under noisy Gaussian environment ⋮ On the discontinuity of the quantum Fisher information for quantum statistical models with parameter dependent rank ⋮ Quantum Fisher information matrix and multiparameter estimation ⋮ Multi-parameter estimation beyond quantum Fisher information ⋮ Quantum state estimation with nuisance parameters ⋮ Quantum sensing networks for the estimation of linear functions ⋮ On the properties of the asymptotic incompatibility measure in multiparameter quantum estimation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fourier analytic approach to quantum estimation of group action
• Quantum local asymptotic normality based on a new quantum likelihood ratio
• Quantum detection and estimation theory
• Comparison between the Cramer-Rao and the mini-max approaches in quantum channel estimation
• Local asymptotic normality for finite dimensional quantum systems
• Asymptotic methods in statistical decision theory
• Optimal estimation of qubit states with continuous time measurements
• Explicit formula for the Holevo bound for two-parameter qubit-state estimation problem
• A Group Theoretic Approach to Quantum Information
• Transport dynamics of single ions in segmented microstructured Paul trap arrays
• An algebraic version of the central limit theorem
• Asymptotic Statistics
• A new approach to the Cramér-Rao-type bound of the pure-state model
• Optimal Extraction of Information from Finite Quantum Ensembles
• Quantum stopwatch: how to store time in a quantum memory
• Sample-optimal tomography of quantum states
• Quantum estimation for non-differentiable models
• Compression for Quantum Population Coding
• Asymptotic estimation theory for a finite-dimensional pure state model
• Parameter estimation of qubit states with unknown phase parameter
• Coherent and Incoherent States of the Radiation Field
• On asymptotic quantum statistical inference
• Asymptotic performance of optimal state estimation in qubit system
• Minimum Variance Estimation Without Regularity Assumptions
• Quantum Information Theory

This page was built for publication: Attaining the ultimate precision limit in quantum state estimation