Quantum chi-squared and goodness of fit testing

DOI10.1063/1.4905843zbMath1311.81018arXiv1112.6343OpenAlexW2046546722WikidataQ61153590 ScholiaQ61153590MaRDI QIDQ5499051

Kristan Temme, Frank Verstraete

Publication date: 11 February 2015

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

Full work available at URL: https://arxiv.org/abs/1112.6343

zbMATH Keywords

hypothesis testingdensity matrixchi-squared testgoodness pf fit testing

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Quantum measurement theory, state operations, state preparations (81P15) Measures of information, entropy (94A17)

Related Items (4)

A mathematical model for fitting and predicting relaxation modulus and simulating viscoelastic responses ⋮ Maps on positive definite operators preserving the quantum \(\chi_\alpha ^2\)-divergence ⋮ Spectral thresholding quantum tomography for low rank states ⋮ Local asymptotic equivalence of pure states ensembles and quantum Gaussian white noise

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantum detection and estimation theory
• Markov invariant geometry and manifolds of states
• Asymptotic error rates in quantum hypothesis testing
• The Chernoff lower bound for symmetric quantum hypothesis testing
• Quasi-entropies for finite quantum systems
• The proper formula for relative entropy and its asymptotics in quantum probability
• The transition probability in the state space of a \(^*\)-algebra
• Maximum Fisher information in mixed state quantum systems
• Monotone metrics on matrix spaces
• Quantum hypothesis testing for Gaussian states: quantum analogues of \(\chi ^{2}\), \(t\)-, and \(F\)-tests
• Quantum information theory and quantum statistics.
• Hilbert's projective metric in quantum information theory
• On a Theorem of Pitman
• Contraction of Generalized Relative Entropy Under Stochastic Mappings on Matrices
• Asymptotic Statistics
• Statistical distance and the geometry of quantum states
• Demonstration of a Fundamental Quantum Logic Gate
• Monotone Riemannian metrics and relative entropy on noncommutative probability spaces
• Fisher information in quantum statistics
• The $\chi ^2$χ2-divergence and mixing times of quantum Markov processes
• Geometries of quantum states
• Experimental quantum teleportation
• An Extension of Kakutani's Theorem on Infinite Product Measures to the Tensor Product of Semifinite w ∗ -Algebras

This page was built for publication: Quantum chi-squared and goodness of fit testing