Applications of quantum and classical Fisher information to two-level complex and quaternionic and three-level complex systems

DOI10.1063/1.531528zbMath0866.62002OpenAlexW2023406602MaRDI QIDQ5284236

Paul B. Slater

Publication date: 24 July 1997

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

Full work available at URL: https://doi.org/10.1063/1.531528

zbMATH Keywords

density matriceseigenvaluesFisher information matrixquantum Fisher information matrices

Mathematics Subject Classification ID

Bayesian inference (62F15) Quantum equilibrium statistical mechanics (general) (82B10) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99) Statistical aspects of information-theoretic topics (62B10)

Related Items (5)

Score operators of a qubit with applications ⋮ Information gains expected from separate and joint measurements of N identical spin-1/2 systems: Noninformative Bayesian analyses ⋮ Bures metrics for certain high-dimensional quantum systems ⋮ Extended studies of separability functions and probabilities and the relevance of Dyson indices ⋮ Quantum and Fisher information from the Husimi and related distributions

Cites Work

• Quantum statistical inference
• Quantum Fisher metric and estimation for pure state models
• Ordered group reference priors with application to the multinomial problem
• Average entropy of a subsystem
• Statistical distance and the geometry of quantum states
• An invariant form for the prior probability in estimation problems

This page was built for publication: Applications of quantum and classical Fisher information to two-level complex and quaternionic and three-level complex systems