Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 435306 |
| Fachzeitschrift | Journal of Physics A: Mathematical and Theoretical |
| Jahrgang | 57 |
| Ausgabenummer | 43 |
| Publikationsstatus | Veröffentlicht - 11 Okt. 2024 |
Abstract
We develop the theory of Wigner representations for general probabilistic theories (GPTs), a large class of operational theories that include both classical and quantum theory. The Wigner representations that we introduce are a natural way to describe the theory in terms of some fixed observables; these observables are often picked to be position and momentum or spin observables. This allows us to introduce symmetries which transform the outcomes of the observables used to construct the Wigner representation; we obtain several results for when these symmetries are well defined or when they uniquely specify the Wigner representation.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Statistische und nichtlineare Physik
- Mathematik (insg.)
- Statistik und Wahrscheinlichkeit
- Mathematik (insg.)
- Modellierung und Simulation
- Mathematik (insg.)
- Mathematische Physik
- Physik und Astronomie (insg.)
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in: Journal of Physics A: Mathematical and Theoretical, Jahrgang 57, Nr. 43, 435306, 11.10.2024.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Symmetries and Wigner representations of operational theories
AU - Ohst, Ties A.
AU - Plávala, Martin
N1 - Publisher Copyright: © 2024 IOP Publishing Ltd. All rights, including for text and data mining, AI training, and similar technologies, are reserved.
PY - 2024/10/11
Y1 - 2024/10/11
N2 - We develop the theory of Wigner representations for general probabilistic theories (GPTs), a large class of operational theories that include both classical and quantum theory. The Wigner representations that we introduce are a natural way to describe the theory in terms of some fixed observables; these observables are often picked to be position and momentum or spin observables. This allows us to introduce symmetries which transform the outcomes of the observables used to construct the Wigner representation; we obtain several results for when these symmetries are well defined or when they uniquely specify the Wigner representation.
AB - We develop the theory of Wigner representations for general probabilistic theories (GPTs), a large class of operational theories that include both classical and quantum theory. The Wigner representations that we introduce are a natural way to describe the theory in terms of some fixed observables; these observables are often picked to be position and momentum or spin observables. This allows us to introduce symmetries which transform the outcomes of the observables used to construct the Wigner representation; we obtain several results for when these symmetries are well defined or when they uniquely specify the Wigner representation.
KW - foundations of quantum theory
KW - general probabilistic theories
KW - Wigner representations
UR - http://www.scopus.com/inward/record.url?scp=85207714111&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2306.11519
DO - 10.48550/arXiv.2306.11519
M3 - Article
AN - SCOPUS:85207714111
VL - 57
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 43
M1 - 435306
ER -