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The Kochen-Specker theorem states that noncontextual hidden variable models are inconsistent with the quantum predictions for every yes-no question on a qutrit, corresponding to every projector in three dimensions. It has been suggested [D.…

Quantum Physics · Physics 2022-03-16 Adan Cabello , Jan-Åke Larsson

The Kochen-Specker theorem demonstrates that it is not possible to reproduce the predictions of quantum theory in terms of a hidden variable model where the hidden variables assign a value to every projector deterministically and…

Quantum Physics · Physics 2015-09-16 Ravi Kunjwal , Robert W. Spekkens

The Kochen-Specker Theorem is widely interpreted to imply that non-contextual hidden variable theories that agree with the predictions of Copenhagen quantum mechanics are impossible. The import of the theorem for a novel observer…

Quantum Physics · Physics 2012-10-19 Fay Dowker , Yousef Ghazi-Tabatabai

Kent's conclusion that ``non-contextual hidden variable theories cannot be excluded by theoretical arguments of the Kochen-Specker type once the imprecision in real world experiments is taken into account'' [Phys. Rev. Lett. 83, 3755…

Quantum Physics · Physics 2007-05-23 Adan Cabello

The Kochen-Specker theorem theoretically shows evidence of the incompatibility of noncontextual hidden variable theories with quantum mechanics. Quantum contextuality is a more general concept than quantum non-locality which is quite well…

Quantum Physics · Physics 2010-08-05 Yuji Hasegawa , Katharina Durstberger-Rennhofer , Stephan Sponar , Helmut Rauch

Meyer recently queried whether non-contextual hidden variable models can, despite the Kochen-Specker theorem, simulate the predictions of quantum mechanics to within any fixed finite experimental precision. Clifton and Kent have presented…

Quantum Physics · Physics 2007-05-23 Jonathan Barrett , Adrian Kent

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 with quantum mechanics. If we require…

Quantum Physics · Physics 2012-12-19 Alastair A. Abbott , Cristian S. Calude , Jonathan Conder , Karl Svozil

The Kochen-Specker theorem has been discussed intensely ever since its original proof in 1967. It is one of the central no-go theorems of quantum theory, showing the non-existence of a certain kind of hidden states models. In this paper, we…

Quantum Physics · Physics 2010-04-21 Andreas Doering

For a hidden variable theory to be indistinguishable from quantum theory for finite precision measurements, it is enough that its predictions agree for some measurement within the range of precision. Meyer has recently pointed out that the…

Quantum Physics · Physics 2009-01-23 Adrian Kent

The Kochen-Specker theorem rules out models of quantum theory wherein projective measurements are assigned outcomes deterministically and independently of context. This notion of noncontextuality is not applicable to experimental…

Quantum Physics · Physics 2018-05-11 Ravi Kunjwal , Robert W. Spekkens

The question of a hidden variable interpretation of quantum contextuality in the Mermin-Peres square is considered. The Kochen-Specker theorem implies that quantum mechanics may be interpreted as a contextual hidden variable theory. It is…

Quantum Physics · Physics 2021-05-04 Brian R. La Cour

Classical realism demands that system properties exist independently of whether they are measured, while noncontextuality demands that the results of measurements do not depend on what other measurements are performed in conjunction with…

I examine Pan and Home's reply to my Comment on their proposal for testing noncontextual models. I show that the Kochen-Specker model for a qubit does explain all outcomes of a test based on such a proposal, so that it would be inconclusive…

Quantum Physics · Physics 2015-05-18 F. De Zela

Certain concrete "ontological models" for quantum mechanics (models in which measurement outcomes are deterministic and quantum states are equivalent to classical probability distributions over some space of `hidden variables') are…

Quantum Physics · Physics 2007-05-23 Terry Rudolph

Quantum mechanics implies that not all physical properties can be simultaneously well defined, such as the momentum and position due to Heisenberg uncertainty principle. Some alternative theories have been explored, notably the…

Quantum Physics · Physics 2012-09-18 Xin-Yu Pan , Yan-Chun Chang , Gang-Qin Liu , Heng Fan

A recent proposal to experimentally test quantum mechanics against noncontextual hidden-variable theories [Phys. Rev. Lett. 80, 1797 (1998)] is shown to be related with the smallest proof of the Kochen-Specker theorem currently known [Phys.…

Quantum Physics · Physics 2016-12-21 Adan Cabello

Hidden variables theories for quantum mechanics are usually assumed to satisfy the KS condition. The Bell-Kochen-Specker theorem then shows that these theories are necessarily contextual. But the KS condition can be criticized from an…

Quantum Physics · Physics 2014-11-13 Claudio Garola

Kochen-Specker theorems assure the breakdown of certain types of non-contextual hidden variable theories through the non-existence of global, holistic frame functions; alas they do not allow us to identify where this breakdown occurs, nor…

Quantum Physics · Physics 2014-03-11 Alastair A. Abbott , Cristian S. Calude , Karl Svozil

It has recently been questioned whether the Kochen-Specker theorem is relevant to real experiments, which by necessity only have finite precision. We give an affirmative answer to this question by showing how to derive hidden-variable…

Quantum Physics · Physics 2009-11-06 Christoph Simon , Caslav Brukner , Anton Zeilinger

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 special sets of quantum-mechanical…

Quantum Physics · Physics 2009-10-31 Rob Clifton , Adrian Kent
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