On the probabilistic postulate of quantum mechanics

Cassinello, Andrés; Sánchez-Gómez, J. L.

doi:10.1007/bf02058273

Cited by 18 publications

(16 citation statements)

References 9 publications

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“…(13) Among other things, this establishes the impossibility of deriving Born's rule as a frequency law. (17) Nevertheless, although we cannot provide with a precise meaning for such probability of a single event, it must be said that, from a practical point of view, it is a consistent axiomatic standpoint, free of flaws.…”

Section: Minimal Set Of Postulatesmentioning

confidence: 99%

Is the Epistemic View of Quantum Mechanics Incomplete?

2004

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One of the most tantalizing questions about the interpretation of QuantumTheory is the objective vs. subjective meaning of quantum states. Here, by focusing on a typical EPR experiment upon which a selection procedure is performed on one side, we will confront the fully epistemic view of quantum states with its results. Our statement is that such a view cannot be considered complete, although the opposite attitude would also pose well-known problems of interpretation.

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Section: Minimal Set Of Postulatesmentioning

confidence: 99%

Is the Epistemic View of Quantum Mechanics Incomplete?

2004

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“…However, each of these attempts in turn has attracted critical attention (e.g. [89][90][91][92][93]).…”

Section: (E) Quantum Logic and The Exclusivity Principlementioning

confidence: 99%

The problem of quantum correlations and the totalitarian principle

Cabello

2019

Phil. Trans. R. Soc. A.

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The totalitarian principle establishes that 'anything not forbidden is compulsory'. The problem of quantum correlations is explaining what selects the set of quantum correlations for a Bell and Kochen-Specker (KS) contextuality scenario. Here, we show that two assumptions and a version of the totalitarian principle lead to the quantum correlations. The assumptions are that there is a non-empty set of correlations for any KS contextuality scenario and a statistically independent realisation of any two KS experiments. The version of the totalitarian principle says that any correlation not forbidden by these assumptions can be produced. This paper contains a short version of the proof [presented in Phys. Rev. A 100, 032120 (2019)] and explores some implications of the result.This article is part of the theme issue 'Contextuality and probability in quantum mechanics and beyond'.

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“…Tielo: I also think that this derivation of the Born rule is quite something. Not only because, as far as I can judge, the many-worlds interpretation has been unable to convincingly derive it, but also because no interpretation of quantum mechanics seems to have ever succeeded in achieving this [27][28][29], apart from, of course, this "manymeasurements" interpretation I recently came across [17,22,30]. But you say that you can't take the spin model I have presented seriously.…”

Section: Introductionmentioning

confidence: 95%

Many-Measurements or Many-Worlds? A Dialogue

Aerts¹,

Bianchi²

2014

Found Sci

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Many advocates of the Everettian interpretation consider that theirs is the only approach to take quantum mechanics really seriously, and that this approach allows to deduce a fantastic scenario for our reality, one that consists of an infinite number of parallel worlds that branch out continuously. In this article, written in dialogue form, we suggest that quantum mechanics can be taken even more seriously, if the many-worlds view is replaced by a many-measurements view. This allows not only to derive the Born rule, thus solving the measurement problem, but also to deduce a one-world non-spatial reality, providing an even more fantastic scenario than that of the multiverse.

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On the probabilistic postulate of quantum mechanics

Cited by 18 publications

References 9 publications

Is the Epistemic View of Quantum Mechanics Incomplete?

Is the Epistemic View of Quantum Mechanics Incomplete?

The problem of quantum correlations and the totalitarian principle

Many-Measurements or Many-Worlds? A Dialogue

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