Nonlocality claims are inconsistent with Hilbert-space quantum mechanics

@article{Griffiths2020NonlocalityCA,
  title={Nonlocality claims are inconsistent with Hilbert-space quantum mechanics},
  author={Robert B. Griffiths},
  journal={Physical Review A},
  year={2020}
}
  • R. Griffiths
  • Published 22 January 2019
  • Physics
  • Physical Review A
It is shown that when properly analyzed using principles consistent with the use of a Hilbert space to describe microscopic properties, quantum mechanics is a local theory: one system cannot influence another system with which it does not interact. Claims to the contrary based on quantum violations of Bell inequalities are shown to be incorrect. A specific example traces a violation of the CHSH Bell inequality in the case of a spin-3/2 particle to the noncommutation of certain quantum operators… 

Conditional probability framework for entanglement and its decoupling from tensor product structure

Our aim is to make a step toward clarification of foundations for the notion of entanglement (both physical and mathematical) by representing it in the conditional probability framework. In

The Classical-Quantum Dichotomy from the Perspective of the Process Algebra

The classical-quantum dichotomy is analyzed from the perspective of the Process Algebra approach, which views fundamental phenomena through the lens of complex systems theory and Whitehead’s process

On the EPR paradox and local causality principle

Formulas for calculating the joint probability of outcomes of measurements performed on mutually non-interacting component systems of a combined system prepared in an entangled state are presented.

A Simple Proof of Locality in Quantum Mechanics

While quantum mechanics allows spooky action at a distance at the level of the wave-function, it also respects locality since there is no instantaneous propagation of real physical effects. We show

Violation of Bell Inequalities: Mapping the Conceptual Implications

This short article concentrates on the conceptual aspects of the violation of Bell inequalities, and acts as a map to the 265 cited references. The article outlines (a) relevant characteristics of

Bell inequalities versus quantum physics: A reply to Lambare

In Phys. Rev. A 101 (2020) 022117 it was argued that Bell inequalities are based on classical, not quantum, physics, and hence their violation in experiments provides no support for the claimed

Reply to “Comment on ‘Nonlocality claims are inconsistent with Hilbert-space quantum mechanics’ ”

In Phys. Rev. A 101, 022117 (2020), it was argued that Bell inequalities are based on classical, not quantum, physics, and hence their violation in experiments provides no support for the claimed

Contextuality-by-Default description of Bell tests

Rows of spreadsheets displaying measured values ±1 of n random dichotomous jointly distributed random variables {X0,..,Xn-1) obey several arithmetic inequalities which imply various non-contextuality

Contextuality-by-Default Description of Bell Tests: Contextuality as the Rule and Not as an Exception

TLDR
The violation of Bell inequalities and inconsistent connectedness may be explained using a contextual locally causal probabilistic model in which setting dependent variables describing measuring instruments are correctly incorporated and it is proved that this model does not restrict experimenters’ freedom of choice which is a prerequisite of science.

References

SHOWING 1-10 OF 40 REFERENCES

Consistent Quantum Theory

1. Introduction 2. Wave functions 3. Linear algebra in Dirac notation 4. Physical properties 5. Probabilities and physical variables 6. Composite systems and tensor products 7. Unitary dynamics 8.

What quantum measurements measure

A solution to the second measurement problem, determining what prior microscopic properties can be inferred from measurement outcomes ("pointer positions"), is worked out for projective and

Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres

TLDR
The data imply statistically significant rejection of the local-realist null hypothesis and could be used for testing less-conventional theories, and for implementing device-independent quantum-secure communication and randomness certification.

Proposed Experiment to Test Local Hidden Variable Theories.

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

Foundations of Quantum Mechanics

of postulates. When their consequences are developed, they embrace the behaviour of all known forms of matter, including the molecules, atoms, and electrons that will be at the centre of our

La nouvelle cuisine

Probability relations between separated systems

  • E. Schrödinger
  • Physics
    Mathematical Proceedings of the Cambridge Philosophical Society
  • 1936
The paper first scrutinizes thoroughly the variety of compositions which lead to the same quantum-mechanical mixture (as opposed to state or pure state). With respect to a given mixture every state

On the Einstein-Podolsky-Rosen paradox

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

Mathematische grundlagen der Quantenmechanik

Hidden Variables, Joint Probability, and the Bell Inequalities