2013
DOI: 10.1103/physreva.88.032111
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ψ-epistemic theories: The role of symmetry

Abstract: 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 objects called "ontic states." Regardless of one's philosophical views about such theories, the question arises of whether one can cleanly rule them out, by proving no-go theorems analogous to the Bell Inequality. In the 1960s, Kochen and Specker (who first studied these theories) constructed an elegant ψ-epistemi… Show more

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Cited by 79 publications
(151 citation statements)
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“…Each of these theorems employs questionable auxiliary assumptions 1 . Without such assumptions, explicit counterexamples show that the epistemic view of quantum states can be maintained [11,12]. Within the ontological models framework, a model is ψ-ontic if the probability measures corresponding to every pair of pure quantum states have zero overlap, and it is ψ-epistemic otherwise.…”
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confidence: 99%
“…Each of these theorems employs questionable auxiliary assumptions 1 . Without such assumptions, explicit counterexamples show that the epistemic view of quantum states can be maintained [11,12]. Within the ontological models framework, a model is ψ-ontic if the probability measures corresponding to every pair of pure quantum states have zero overlap, and it is ψ-epistemic otherwise.…”
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confidence: 99%
“…Ref. [15] goes further, demonstrating that for a quantum system of arbitrary dimension, a ψ-epistemic model exists with the additional property that ω C (µ ψ , µ φ ) > 0 for every pair of non-orthogonal states |ψ and |φ . Refs.…”
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confidence: 99%
“…It is interesting to investigate what can be established without this assumption. Various works have investigated what can be concluded by considering measurements on a single system only, i.e, without any assumption about independent systems [11][12][13][14][15]. Here, we consider a single quantum system, and derive bounds on the extent to which the probability distributions corresponding to distinct quantum states can overlap.…”
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confidence: 99%
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“…From Born and Heisenberg arguing for a probabilistic interpretation to date it is in discussion about whether ψ-ontology of the wave-function is ontic or epistemic (Pusey et al, 2012, Aaronson et al, 2013, Leifer 2014. It is a delicate matter.…”
Section: Ontology Of I-observermentioning
confidence: 99%