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.
Author: | Ingo SchmittORCiD |
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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. |