# What does an experimental test of quantum contextuality prove or disprove

@article{Winter2014WhatDA, title={What does an experimental test of quantum contextuality prove or disprove}, author={Andreas J. Winter}, journal={arXiv: Quantum Physics}, year={2014} }

The possibility to test experimentally the Bell-Kochen-Specker theorem is investigated critically, following the demonstrations by Meyer, Kent and Clifton-Kent that the predictions of quantum mechanics are indistinguishable (up to arbitrary precision) from those of a non-contextual model, and the subsequent debate to which extent these models are actually classical or non-contextual.
The present analysis starts from a careful consideration these "finite-precision" approximations. A stronger… Expand

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#### References

SHOWING 1-10 OF 68 REFERENCES

Non-contextuality, finite precision measurement and the Kochen-Specker theorem

- Physics, Mathematics
- 2003

Abstract Meyer originally raised the question of whether non-contextual hidden variable models can, despite the Kochen–Specker theorem, simulate the predictions of quantum mechanics to within any… Expand

State-independent experimental test of quantum contextuality

- Physics
- Nature
- 2009

The question of whether quantum phenomena can be explained by classical models with hidden variables is the subject of a long-lasting debate. In 1964, Bell showed that certain types of classical… Expand

Quantum contextuality from a simple principle

- Physics, Mathematics
- 2012

In a recent article entitled "A simple explanation of the quantum violation of a fundamental inequality," Cabello proposes a condition on a class of probabilistic models that, he claims, gives the… Expand

Contextuality for preparations, transformations, and unsharp measurements

- Physics
- 2005

The Bell-Kochen-Specker theorem establishes the impossibility of a noncontextual hidden variable model of quantum theory, or equivalently, that quantum theory is contextual. In this paper, an… Expand

(Non-)Contextuality of Physical Theories as an Axiom

- Physics, Mathematics
- 2010

We show that the noncontextual inequality proposed by Klyachko et al. [Phys. Rev. Lett. 101, 020403 (2008)] belongs to a broader family of inequalities, one associated to each compatibility structure… Expand

The Role of Bounded Memory in the Foundations of Quantum Mechanics

- Mathematics
- 2012

If quantum mechanics is correct and there is a finite upper bound for the speed of causal influences (e.g., the speed of light), then quantum mechanics is complete (i.e., it does not admit a more… Expand

Specker’s parable of the overprotective seer: A road to contextuality, nonlocality and complementarity

- Mathematics, Physics
- 2010

In 1960, the mathematician Ernst Specker described a simple example of nonclassical correlations, the counter-intuitive features of which he dramatized using a parable about a seer, who sets an… Expand

The Bell–Kochen–Specker theorem

- Mathematics, Physics
- 2003

Abstract Meyer, Kent and Clifton (MKC) claim to have nullified the Bell–Kochen–Specker (Bell-KS) theorem. It is true that they invalidate Kochen and Specker's account of the theorem's physical… Expand

Simulating quantum mechanics by non-contextual hidden variables

- Mathematics
- 2016

No physical measurement can be performed with infinite precision. This leaves a loophole in the standard no-go arguments against non-contextual hidden variables. All such arguments rely on choosing… Expand

Proposed experiment for testing quantum contextuality with neutrons.

- Physics, Medicine
- Physical review letters
- 2008

We show that an experimental demonstration of quantum contextuality using 2 degrees of freedom of single neutrons based on a violation of an inequality derived from the Peres-Mermin proof of the… Expand