The Bell Inequality Is Satisfied by Quantum Correlations Computed Consistently with Quantum Non-Commutation
@article{Sica2016TheBI, title={The Bell Inequality Is Satisfied by Quantum Correlations Computed Consistently with Quantum Non-Commutation}, author={Louis Sica}, journal={Journal of Modern Physics}, year={2016}, volume={07}, pages={404-412} }
In constructing his theorem, Bell assumed that correlation functions among non-commuting variables are the same as those among commuting variables. However, in quantum mechanics, multiple data values exist simultaneously for commuting operations while for non-commuting operations data are conditional on prior outcomes, or may be predicted as alternative outcomes of the non-commuting operations. Given these qualitative differences, there is no reason why correlation functions among non-commuting…
3 Citations
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References
SHOWING 1-10 OF 24 REFERENCES
All quantum observables in a hidden-variable model must commute simultaneously
- Physics
- 2004
Under a standard set of assumptions for a hidden-variable model for quantum events we show that all observables must commute simultaneously. This seems to be an ultimate statement about the…
Logical Difficulty from Combining Counterfactuals in the GHZ-Bell Theorems
- Physics
- 2013
In eliminating the fair sampling assumption, the
Greenberger, Horne, Zeilinger (GHZ) theorem is believed to confirm Bell’s
historic conclusion that local hidden variables are inconsistent with the…
Bell Correlations without Entanglement: A Local Wave Model Using Gaussian-Poisson Statistics and Single Count-Pair Selection
- Physics
- 2014
Based on the violation of Bell inequalities, it has been believed that the derivation of Bell correlations requires a quantum description that depends on entanglement. However, the present paper…
On the Einstein-Podolsky-Rosen paradox
- Physics
- 1964
THE paradox of Einstein, Podolsky and Rosen [1] was advanced as an argument that quantum mechanics could not be a complete theory but should be supplemented by additional variables. These additional…
Do we really understand quantum mechanics?
- Physics
- 2002
This article presents a general discussion of several aspects of our present understanding of quantum mechanics. The emphasis is put on the very special correlations that this theory makes possible:…
Do We Really Understand Quantum Mechanics?: Contents
- Physics
- 2012
This article presents a general discussion of several aspects of our present understanding of quantum mechanics. The emphasis is put on the very special correlations that this theory makes possible:…
Proposed Experiment to Test Local Hidden Variable Theories.
- Physics
- 1969
A theorem of Bell, proving that certain predictions of quantum mechanics are inconsistent with the entire family of local hidden-variable theories, is generalized so as to apply to realizable…
Violation of Bell's Inequality under Strict Einstein Locality Conditions
- Physics
- 1998
We observe strong violation of Bell's inequality in an Einstein-Podolsky-Rosen-type experiment with independent observers. Our experiment definitely implements the ideas behind the well-known work by…
Experimental demonstration of quantum correlations over more than 10 km
- Physics
- 1998
Energy and time entangled photons at a wavelength of 1310 nm are produced by parametric down-conversion in a ${\mathrm{KNbO}}_{3}$ crystal and are sent into all-fiber interferometers using a…
Data analysis of Einstein-Podolsky-Rosen-Bohm laboratory experiments
- PhysicsOptics & Photonics - Optical Engineering + Applications
- 2013
Data sets produced by three different Einstein-Podolsky-Rosen-Bohm (EPRB) experiments are tested against the hypothesis that the statistics of this data is described by quantum theory. Although these…