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Quantum-based construction of a probability measure

  • From Gleason's theorem we know that in principle every probability measure can be expressed by Hermitian operators in a separable Hilbert space and the Born rule as part of a quantum mechanical system. However, that theorem is not constructive. For a given discrete and additive probability measure based on a σ-algebra we construct a quantum system with projectors expressing that probability measure.

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Metadaten
Author: Ingo SchmittORCiD
URN:urn:nbn:de:kobv:co1-opus4-50760
Series (Serial Number):Computer science reports / Institut für Informatik (2019, 1)
Editor: Ingo SchmittORCiD
Document Type:Report
Language:English
Year of Completion:2019
Release Date:2020/01/28
Tag:Probability measure; Quantum modelling
GND Keyword:Wahrscheinlichkeitsmetrik; Mathematische Modellierung; Quanteninformatik
Institutes:Fakultät 1 MINT - Mathematik, Informatik, Physik, Elektro- und Informationstechnik / Institut für Informatik
Licence (German):Keine Lizenz vergeben. Es gilt das deutsche Urheberrecht.
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