+ Site Statistics
+ Search Articles
+ PDF Full Text Service
How our service works
Request PDF Full Text
+ Follow Us
Follow on Facebook
Follow on Twitter
Follow on LinkedIn
+ Subscribe to Site Feeds
Most Shared
PDF Full Text
+ Translate
+ Recently Requested

From the Kochen-Specker theorem to noncontextuality inequalities without assuming determinism

From the Kochen-Specker theorem to noncontextuality inequalities without assuming determinism

Physical Review Letters 115(11): 110403

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 noncontextually. A noncontextual value assignment to a projector is one that does not depend on which other projectors-the context-are measured together with it. Using a generalization of the notion of noncontextuality that applies to both measurements and preparations, we propose a scheme for deriving inequalities that test whether a given set of experimental statistics is consistent with a noncontextual model. Unlike previous inequalities inspired by the Kochen-Specker theorem, we do not assume that the value assignments are deterministic and therefore in the face of a violation of our inequality, the possibility of salvaging noncontextuality by abandoning determinism is no longer an option. Our approach is operational in the sense that it does not presume quantum theory: a violation of our inequality implies the impossibility of a noncontextual model for any operational theory that can account for the experimental observations, including any successor to quantum theory.

Please choose payment method:

(PDF emailed within 0-6 h: $19.90)

Accession: 057904243

Download citation: RISBibTeXText

PMID: 26406812

DOI: 10.1103/physrevlett.115.110403

Related references

Generalizations of Kochen and Specker's theorem and the effectiveness of Gleason's theorem. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35(2): 177-194, 2004

Kochen-Specker theorem studied with neutron interferometer. Nuclear Instruments and Methods in Physics Research. Section A Accelerators Spectrometers Detectors and Associated Equipment 634(1): S21-S24, 2011

Experimental test of the Kochen-Specker theorem with single photons. Physical Review Letters 90(25 Pt 1): 250401, 2003

State-independent proof of Kochen-Specker theorem with 13 rays. Physical Review Letters 108(3): 030402, 2012

Kochen-Specker theorem for finite precision spin-one measurements. Physical Review Letters 88(24): 240402, 2002

Realization of a Quantum Random Generator Certified with the Kochen-Specker Theorem. Physical Review Letters 119(24): 240501, 2017

Kochen-Specker theorem for a single qubit using positive operator-valued measures. Physical Review Letters 90(19): 190401, 2003

Limits to quantum mechanics as a source of magic tricks: Retrodiction and the Bell-Kochen-Specker theorem. Physical Review Letters 74(6): 831-834, 1995

Errors in the no hidden variable proof of Kochen and Specker. Synthese 29(1-4): 331-372, 1974

A Simplified Basis for Bell-Kochen-Specker Theorems. Physics Letters. a 378(35): 2611-2613, 2014

Feasible "Kochen-Specker" experiment with single particles. Physical Review Letters 85(9): 1783-1786, 2000

Applying the simplest Kochen-Specker set for quantum information processing. Physical Review Letters 113(9): 090404, 2014

A Probabilistic Version of the Kochen-Specker No-Hidden-Variable Proof. Synthese 44(3): 495-500, 1980

Logic and Probability in Quantum Mechanics || Errors in the No Hidden Variable Proof of Kochen and Specker. Synthese 29(1-4): 331-372, 1974

A right inverse function theorem withhout assuming differentiability. Studia Scientiarum Mathematicarum Hungarica 36(1-2): 153-164, 2000