A quantum central limit theorem for sums of independent identically distributed random variables

DOI10.1063/1.3285287zbMath1417.81144OpenAlexW2955488478MaRDI QIDQ3580894

Yan Pautrat, Vojkan Jakšić, Claude-Alain Pillet

Publication date: 13 August 2010

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

Full work available at URL: https://doi.org/10.1063/1.3285287

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (10)

A central limit theorem in many-body quantum dynamics ⋮ Convergence rates for the quantum central limit theorem ⋮ Noncommutative Lebesgue decomposition and contiguity with applications in quantum statistics ⋮ Quantum local asymptotic normality based on a new quantum likelihood ratio ⋮ Statistical ensembles for phase coexistence states specified by noncommutative additive observables ⋮ Weak Edgeworth expansion for the mean-field Bose gas ⋮ Efficiency of estimators for locally asymptotically normal quantum statistical models ⋮ Randomization and the Gross-Pitaevskii hierarchy ⋮ Multivariate central limit theorem in quantum dynamics ⋮ Local existence of solutions to randomized Gross-Pitaevskii hierarchies

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