What does it take to solve the measurement problem?

Hance, Jonte R.; Hossenfelder, Sabine

doi:10.1088/2399-6528/ac96cf

Cited by 16 publications

(15 citation statements)

References 74 publications

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“…On the other hand, the question of whether investing large amounts of money and intellectual resources in the development of particle colliders is worthwhile has particular relevance. The situation is aggravated by the notion that the term "measurement" is not defined in the axioms of quantum mechanics [45]. In turn, the act of measurement is preceded by a model -the result of the mental activity of a scientist -whose scientific position may differ and even be directly opposite to the opinion of other researchers.…”

Section: Discussionmentioning

confidence: 99%

A new look at the process of modelling physical phenomena: Informational approach

Menin¹

2023

Preprint

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<p> When building a model of a physical phenomenon or process, scientists face an inevitable compromise between the simplicity of the model (qualitative‒quantitative set of variables) and its accuracy. For hundreds of years, the visual simplicity of a law testified to the genius and depth of the physical thinking of the scientist who proposed it. Currently, the desire for a deeper physical understanding of the surrounding world and newly discovered physical phenomena motivates researchers to increase the number of variables considered in a model. This direction leads to an increased probability of choosing an inaccurate or even erroneous model. This study describes a method for estimating the limit of measurement accuracy, taking into account the stage of model building in terms of storage, transmission, processing and use of information by the observer. This limit, due to the finite amount of information stored in the model, allows you to select the optimal number of variables for the best reproduction of the observed object and calculate the exact values of the threshold discrepancy between the model and the phenomenon under study in measurement theory. We consider two examples: measurement of the speed of sound and measurement of physical constants. </p>

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Section: Discussionmentioning

confidence: 99%

A new look at the process of modelling physical phenomena: Informational approach

Menin¹

2023

Preprint

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“…On the other hand, the question of whether investing large amounts of money and intellectual resources in the development of particle colliders is worthwhile has particular relevance. The situation is aggravated by the notion that the term "measurement" is not defined in the axioms of quantum mechanics [50]. In turn, the act of measurement is preceded by a model-the result of the mental activity of a scientist-whose scientific position may differ and even be directly opposite to the opinion of other researchers.…”

Section: Discussionmentioning

confidence: 99%

Unleashing the Power of Information Theory: Enhancing Accuracy in Modeling Physical Phenomena

Menin¹

2023

JAMP

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When building a model of a physical phenomenon or process, scientists face an inevitable compromise between the simplicity of the model (qualitativequantitative set of variables) and its accuracy. For hundreds of years, the visual simplicity of a law testified to the genius and depth of the physical thinking of the scientist who proposed it. Currently, the desire for a deeper physical understanding of the surrounding world and newly discovered physical phenomena motivates researchers to increase the number of variables considered in a model. This direction leads to an increased probability of choosing an inaccurate or even erroneous model. This study describes a method for estimating the limit of measurement accuracy, taking into account the stage of model building in terms of storage, transmission, processing and use of information by the observer. This limit, due to the finite amount of information stored in the model, allows you to select the optimal number of variables for the best reproduction of the observed object and calculate the exact values of the threshold discrepancy between the model and the phenomenon under study in measurement theory. We consider two examples: measurement of the speed of sound and measurement of physical constants.

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“…The interpretation of quantum mechanics is controversial because it is impossible to identify individual measurement outcomes with an underlying measurement independent reality [1,2]. Unfortunately, the familiar terminology of quantum mechanics tends to encourage images of underlying realities by carelessly identifying quantum state components with measurement outcomes even when no such measurements are ever performed.…”

Section: Introductionmentioning

confidence: 99%

“…The application of the formalism strongly suggests that the familiar structure of reality that we experience in our actual lives is sufficiently explained in terms of the deterministic relations between different measurements. This is a point that is often overlooked in discussions of the measurement problem such as [1,2]. We do not have any direct access to any microscopic realities, and our ability to perform measurements is limited by our macroscopic interventions in the world around us.…”

Section: Introductionmentioning

confidence: 99%

Statistical Signatures of Quantum Contextuality

Hofmann

2024

Preprint

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Quantum contextuality describes situations where the statistics observed in different measurement contexts cannot be explained by a measurement independent reality of the system. The most simple case is observed in a three-dimensional Hilbert space, with five different measurement contexts related to each other by shared measurement outcomes. The quantum formalism defines the relations between these contexts in terms of well-defined relations between operators, and these relations can be used to reconstruct an unknown quantum state from a finite set of measurement results. Here, I introduce a reconstruction method based on the relations between the five measurement contexts that can violate the bounds of non-contextual statistics. A complete description of an arbitrary quantum state requires only five of the eight elements of a Kirkwood-Dirac quasi probability, but only an overcomplete set of eleven elements provides an unbiased description of all five contexts. A set of five fundamental relations between the eleven elements reveals a deterministic structure that links the five contexts. As illustrated by a number of examples, these relations provide a consistent description of contextual realities for the measurement outcomes of all five contexts.

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What does it take to solve the measurement problem?

Cited by 16 publications

References 74 publications

A new look at the process of modelling physical phenomena: Informational approach

A new look at the process of modelling physical phenomena: Informational approach

Unleashing the Power of Information Theory: Enhancing Accuracy in Modeling Physical Phenomena

Statistical Signatures of Quantum Contextuality

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