• Corpus ID: 34130771

# Ontological Models in Quantum Mechanics: What do they tell us?

@article{Ballentine2014OntologicalMI,
title={Ontological Models in Quantum Mechanics: What do they tell us?},
author={Leslie Ballentine},
journal={arXiv: Quantum Physics},
year={2014}
}
• L. Ballentine
• Published 23 February 2014
• Philosophy
• arXiv: Quantum Physics
The consequences of the theorems about ontological models are studied. "Maximally $\psi$-epistemic" is shown to be equivalent to the conjunction of two other conditions, each of which can be realized in Hilbert spaces of arbitrary dimension, but which cannot occur together for d>2. I argue that current theorems do not invalidate an epistemic interpretation of quantum states. A new condition, called "functionally $\psi$-epistemic", is introduced, which, were it to be excluded, would signal the…

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## References

SHOWING 1-10 OF 14 REFERENCES
Ontological models predictively inequivalent to quantum theory.
• Philosophy, Physics
Physical review letters
• 2013
A model is described which violates the statement that no extension of quantum theory can have improved predictive power under a strong assumption of free choice of the experimental settings and validity of quantum mechanics for almost all states of a bipartite two-level system.
Maximally epistemic interpretations of the quantum state and contextuality.
• Philosophy
Physical review letters
• 2013
The relationship between quantum contextuality and models of quantum theory in which the quantum state is maximally epistemic and preparation noncontextual models must be Kochen-Specker non contextual is examined to establish both the impossibility and the implication of Bell's theorem from an Einstein-Podolsky-Rosen-like argument.
ψ-epistemic theories: The role of symmetry
• Philosophy
• 2013
Formalizing an old desire of Einstein, “ψ-epistemic theories” try to reproduce the predictions of quantum mechanics, while viewing quantum states as ordinary probability distributions over underlying
Ontological models and the interpretation of contextuality
• Philosophy
• 2007
Studying the extent to which realism is compatible with quantum mechanics teaches us something about the quantum mechanical universe, regardless of the validity of such realistic assumptions. It has
ψ-Epistemic models are exponentially bad at explaining the distinguishability of quantum states.
• M. Leifer
• Philosophy
Physical review letters
• 2014
This Letter exhibits a family of states for which the ratio of these two quantities must be ≤2de-cd in Hilbert spaces of dimension d that are divisible by 4, which implies that the epistemic explanation of indistinguishability becomes implausible at an exponential rate as the Hilbert space dimension increases.
Einstein, Incompleteness, and the Epistemic View of Quantum States
• Philosophy
• 2007
It is shown that for models wherein the quantum state has the status of something real, the failure of locality can be established through an argument considerably more straightforward than Bell’s theorem.
The Problem of Hidden Variables in Quantum Mechanics
• Physics
• 1967
Forty years after the advent of quantum mechanics the problem of hidden variables, that is, the possibility of imbedding quantum theory into a classical theory, remains a controversial and obscure
No extension of quantum theory can have improved predictive power
• Physics
Nature communications
• 2011
This work says that no extension of quantum theory can give more information about the outcomes of future measurements than quantum theory itself, under the assumption that measurements can be chosen freely.
Strong Kochen-Specker theorem and incomputability of quantum randomness
• Mathematics
Physical Review A
• 2012
The Kochen-Specker theorem shows the impossibility for a hidden variable theory to consistently assign values to certain (finite) sets of observables in a way that is non-contextual and consistent
Is a system's wave function in one-to-one correspondence with its elements of reality?
• Philosophy
Physical review letters
• 2012
It is shown, based only on the assumption that measurement settings can be chosen freely, that a system's wave function is in one-to-one correspondence with its elements of reality, which eliminates the possibility that it can be interpreted subjectively.