On Formalisms and Interpretations

One of the reasons for the heated debates around the interpretations of quantum theory is a simple confusion between the notions of formalism $\textit{versus}$ interpretation. In this note, we make a clear distinction between them and show that there are actually two $\textit{inequivalent}$ quantum...

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Main Authors: Veronika Baumann, Stefan Wolf
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2018-10-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2018-10-15-99/pdf/
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author Veronika Baumann
Stefan Wolf
author_facet Veronika Baumann
Stefan Wolf
author_sort Veronika Baumann
collection DOAJ
description One of the reasons for the heated debates around the interpretations of quantum theory is a simple confusion between the notions of formalism $\textit{versus}$ interpretation. In this note, we make a clear distinction between them and show that there are actually two $\textit{inequivalent}$ quantum formalisms, namely the relative-state formalism and the standard formalism with the Born and measurement-update rules. We further propose a different probability rule for the relative-state formalism and discuss how Wigner's-friend-type experiments could show the inequivalence with the standard formalism. The feasibility in principle of such experiments, however, remains an open question.
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spelling doaj.art-f6781b941e4244f88c2aacb9355e99b32022-12-22T03:17:05ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2018-10-0129910.22331/q-2018-10-15-9910.22331/q-2018-10-15-99On Formalisms and InterpretationsVeronika BaumannStefan WolfOne of the reasons for the heated debates around the interpretations of quantum theory is a simple confusion between the notions of formalism $\textit{versus}$ interpretation. In this note, we make a clear distinction between them and show that there are actually two $\textit{inequivalent}$ quantum formalisms, namely the relative-state formalism and the standard formalism with the Born and measurement-update rules. We further propose a different probability rule for the relative-state formalism and discuss how Wigner's-friend-type experiments could show the inequivalence with the standard formalism. The feasibility in principle of such experiments, however, remains an open question.https://quantum-journal.org/papers/q-2018-10-15-99/pdf/
spellingShingle Veronika Baumann
Stefan Wolf
On Formalisms and Interpretations
Quantum
title On Formalisms and Interpretations
title_full On Formalisms and Interpretations
title_fullStr On Formalisms and Interpretations
title_full_unstemmed On Formalisms and Interpretations
title_short On Formalisms and Interpretations
title_sort on formalisms and interpretations
url https://quantum-journal.org/papers/q-2018-10-15-99/pdf/
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