Non-Kolmogorovian Probabilities and Quantum Technologies

In this work, we focus on the philosophical aspects and technical challenges that underlie the axiomatization of the non-Kolmogorovian probability framework, in connection with the problem of quantum contextuality. This fundamental feature of quantum theory has received a lot of attention recently,...

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Main Author: Federico Hernán Holik
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/24/11/1666
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author Federico Hernán Holik
author_facet Federico Hernán Holik
author_sort Federico Hernán Holik
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description In this work, we focus on the philosophical aspects and technical challenges that underlie the axiomatization of the non-Kolmogorovian probability framework, in connection with the problem of quantum contextuality. This fundamental feature of quantum theory has received a lot of attention recently, given that it might be connected to the speed-up of quantum computers—a phenomenon that is not fully understood. Although this problem has been extensively studied in the physics community, there are still many philosophical questions that should be properly formulated. We analyzed different problems from a conceptual standpoint using the non-Kolmogorovian probability approach as a technical tool.
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spelling doaj.art-087dda8c03344754a89750bd430538ed2023-11-24T08:18:52ZengMDPI AGEntropy1099-43002022-11-012411166610.3390/e24111666Non-Kolmogorovian Probabilities and Quantum TechnologiesFederico Hernán Holik0Instituto de Física La Plata, CONICET-UNLP, Diagonal 113 e/63 y 64, La Plata 1900, ArgentinaIn this work, we focus on the philosophical aspects and technical challenges that underlie the axiomatization of the non-Kolmogorovian probability framework, in connection with the problem of quantum contextuality. This fundamental feature of quantum theory has received a lot of attention recently, given that it might be connected to the speed-up of quantum computers—a phenomenon that is not fully understood. Although this problem has been extensively studied in the physics community, there are still many philosophical questions that should be properly formulated. We analyzed different problems from a conceptual standpoint using the non-Kolmogorovian probability approach as a technical tool.https://www.mdpi.com/1099-4300/24/11/1666non-Kolmogorovian probabilityquantum technologiesphilosophy of quantum physics
spellingShingle Federico Hernán Holik
Non-Kolmogorovian Probabilities and Quantum Technologies
Entropy
non-Kolmogorovian probability
quantum technologies
philosophy of quantum physics
title Non-Kolmogorovian Probabilities and Quantum Technologies
title_full Non-Kolmogorovian Probabilities and Quantum Technologies
title_fullStr Non-Kolmogorovian Probabilities and Quantum Technologies
title_full_unstemmed Non-Kolmogorovian Probabilities and Quantum Technologies
title_short Non-Kolmogorovian Probabilities and Quantum Technologies
title_sort non kolmogorovian probabilities and quantum technologies
topic non-Kolmogorovian probability
quantum technologies
philosophy of quantum physics
url https://www.mdpi.com/1099-4300/24/11/1666
work_keys_str_mv AT federicohernanholik nonkolmogorovianprobabilitiesandquantumtechnologies