Generalised probabilistic theories in a new light
Abstract In this paper, a modified formulation of generalised probabilistic theories that will always give rise to the structure of Hilbert space of quantum mechanics, in any finite outcome space, is presented and the guidelines to how to extend this work to infinite dimensional Hilbert spaces are g...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-12-01
|
| Series: | IET Quantum Communication |
| Online Access: | https://doi.org/10.1049/qtc2.12045 |
| _version_ | 1811205618055249920 |
|---|---|
| author | Raed Shaiia |
| author_facet | Raed Shaiia |
| author_sort | Raed Shaiia |
| collection | DOAJ |
| description | Abstract In this paper, a modified formulation of generalised probabilistic theories that will always give rise to the structure of Hilbert space of quantum mechanics, in any finite outcome space, is presented and the guidelines to how to extend this work to infinite dimensional Hilbert spaces are given. Moreover, this new formulation which will be called as extended operational‐probabilistic theories, applies not only to quantum systems, but also equally well to classical systems, without violating Bell's theorem, and at the same time solves the measurement problem. A new answer to the question of why our universe is quantum mechanical rather than classical will be presented. Besides, this extended probability theory shows that it is non‐determinacy, or to be more precise, the non‐deterministic description of the universe, that makes the laws of physics the way they are. In addition, this paper shows that there is still a possibility that there might be a deterministic level from which our universe emerges, which if understood correctly, may open the door wide to applications in areas such as quantum computing. In addition, this paper explains the deep reason why complex Hilbert spaces in quantum mechanics are needed. |
| first_indexed | 2024-04-12T03:35:07Z |
| format | Article |
| id | doaj.art-0bddf51fe64540b39b35e20d69789b20 |
| institution | Directory Open Access Journal |
| issn | 2632-8925 |
| language | English |
| last_indexed | 2024-04-12T03:35:07Z |
| publishDate | 2022-12-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Quantum Communication |
| spelling | doaj.art-0bddf51fe64540b39b35e20d69789b202022-12-22T03:49:27ZengWileyIET Quantum Communication2632-89252022-12-013422925410.1049/qtc2.12045Generalised probabilistic theories in a new lightRaed Shaiia0The Center for Advanced Sciences (CAS) Al‐Suwayda SyriaAbstract In this paper, a modified formulation of generalised probabilistic theories that will always give rise to the structure of Hilbert space of quantum mechanics, in any finite outcome space, is presented and the guidelines to how to extend this work to infinite dimensional Hilbert spaces are given. Moreover, this new formulation which will be called as extended operational‐probabilistic theories, applies not only to quantum systems, but also equally well to classical systems, without violating Bell's theorem, and at the same time solves the measurement problem. A new answer to the question of why our universe is quantum mechanical rather than classical will be presented. Besides, this extended probability theory shows that it is non‐determinacy, or to be more precise, the non‐deterministic description of the universe, that makes the laws of physics the way they are. In addition, this paper shows that there is still a possibility that there might be a deterministic level from which our universe emerges, which if understood correctly, may open the door wide to applications in areas such as quantum computing. In addition, this paper explains the deep reason why complex Hilbert spaces in quantum mechanics are needed.https://doi.org/10.1049/qtc2.12045 |
| spellingShingle | Raed Shaiia Generalised probabilistic theories in a new light IET Quantum Communication |
| title | Generalised probabilistic theories in a new light |
| title_full | Generalised probabilistic theories in a new light |
| title_fullStr | Generalised probabilistic theories in a new light |
| title_full_unstemmed | Generalised probabilistic theories in a new light |
| title_short | Generalised probabilistic theories in a new light |
| title_sort | generalised probabilistic theories in a new light |
| url | https://doi.org/10.1049/qtc2.12045 |
| work_keys_str_mv | AT raedshaiia generalisedprobabilistictheoriesinanewlight |