Quantum central limit theorems for strongly mixing random variables

DOI10.1007/BF00532648zbMath0553.60031OpenAlexW2087749015MaRDI QIDQ3347027

No author found.

Publication date: 1985

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00532648

zbMATH Keywords

mixing conditionquantum mechanical framework

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items

Infinitely divisible completely positive mappings, Central limit theorem for mixing quantum systems and the CCR-algebra of fluctuations, Non-commutative central limits, Central limit theorem for locally interacting Fermi gas, Central Limit Theorems and Asymptotic Spectral Analysis on Large Graphs, The continuum limit of quantum spin systems, Asymptotic performance of optimal state estimation in qubit system, Quantum central limit theorems for weakly dependent maps. II, Quantum central limit theorems for weakly dependent maps. I, Wilhelm von Waldenfels (2-3-1932–12-3-2021), a pioneer of quantum probability

Cites Work

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• Central limits of product mappings between CAR-algebras
• A noncommutative central limit theorem for CCR-algebras
• The noncommutative Markovian property
• A quantum-mechanical functional central limit theorem
• An algebraic version of the central limit theorem
• An algebraic central limit theorem in the anti-commuting case
• A quantum-mechanical central limit theorem