Literature DB >> 34720132

Relational Quantum Mechanics and the PBR Theorem: A Peaceful Coexistence.

Andrea Oldofredi1, Caludio Calosi2.   

Abstract

According to Relational Quantum Mechanics (RQM) the wave function ψ is considered neither a concrete physical item evolving in spacetime, nor an object representing the absolute state of a certain quantum system. In this interpretative framework, ψ is defined as a computational device encoding observers' information; hence, RQM offers a somewhat epistemic view of the wave function. This perspective seems to be at odds with the PBR theorem, a formal result excluding that wave functions represent knowledge of an underlying reality described by some ontic state. In this paper we argue that RQM is not affected by the conclusions of PBR's argument; consequently, the alleged inconsistency can be dissolved. To do that, we will thoroughly discuss the very foundations of the PBR theorem, i.e. Harrigan and Spekkens' categorization of ontological models, showing that their implicit assumptions about the nature of the ontic state are incompatible with the main tenets of RQM. Then, we will ask whether it is possible to derive a relational PBR-type result, answering in the negative. This conclusion shows some limitations of this theorem not yet discussed in the literature.
© The Author(s) 2021.

Entities:  

Keywords:  Epistemic states; Ontic states; PBR theorem; Relational quantum mechanics

Year:  2021        PMID: 34720132      PMCID: PMC8550433          DOI: 10.1007/s10701-021-00485-2

Source DB:  PubMed          Journal:  Found Phys        ISSN: 0015-9018            Impact factor:   1.390


  7 in total

1.  On the Classification Between ψ -Ontic and ψ -Epistemic Ontological Models.

Authors:  Andrea Oldofredi; Cristian López
Journal:  Found Phys       Date:  2020-09-05       Impact factor: 1.390

2.  'Space is blue and birds fly through it'.

Authors:  Carlo Rovelli
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2018-07-13       Impact factor: 4.226

3.  Implications of the Pusey-Barrett-Rudolph quantum no-go theorem.

Authors:  Maximilian Schlosshauer; Arthur Fine
Journal:  Phys Rev Lett       Date:  2012-06-27       Impact factor: 9.161

4.  Distinct quantum states can be compatible with a single state of reality.

Authors:  Peter G Lewis; David Jennings; Jonathan Barrett; Terry Rudolph
Journal:  Phys Rev Lett       Date:  2012-10-09       Impact factor: 9.161

5.  No-go theorem for the composition of quantum systems.

Authors:  Maximilian Schlosshauer; Arthur Fine
Journal:  Phys Rev Lett       Date:  2014-02-21       Impact factor: 9.161

6.  The Bundle Theory Approach to Relational Quantum Mechanics.

Authors:  Andrea Oldofredi
Journal:  Found Phys       Date:  2021-02-18       Impact factor: 1.390

7.  Quantum theory cannot consistently describe the use of itself.

Authors:  Daniela Frauchiger; Renato Renner
Journal:  Nat Commun       Date:  2018-09-18       Impact factor: 14.919

  7 in total

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