Do we have any proof of entanglement other than bells inequalities?

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Discussion Overview

The discussion centers on the question of whether there are proofs of quantum entanglement beyond Bell's inequalities. Participants explore various experimental and theoretical approaches to demonstrate or hint at the existence of quantum entanglement.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions if there are any proofs of entanglement aside from Bell's inequalities, noting that while Bell's inequalities suggest local hidden variables cannot account for quantum predictions, they are not entirely conclusive.
  • Another participant mentions that entangled photons can exceed the diffraction limit, providing a link to support this claim.
  • A subsequent reply acknowledges the link and inquires about alternative methods to reduce the wavelength of a photon aside from entanglement.
  • Another participant reiterates the significance of Bell's inequalities and suggests that entanglement serves to validate this principle, while also recommending related topics such as the GHZ Theorem, Bell-Kochen-Specker theorem, Leggett's work, and Hardy's Paradox as additional techniques beyond standard Bell tests.

Areas of Agreement / Disagreement

Participants express differing views on the sufficiency of Bell's inequalities as proof of entanglement, with some proposing additional methods and others seeking clarification on existing concepts. The discussion remains unresolved regarding the completeness of evidence for entanglement.

Contextual Notes

Participants reference complex theoretical concepts and various experimental approaches, but the discussion does not resolve the limitations or assumptions inherent in these methods.

San K
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do we have any proof of entanglement other than Bells Inequalities?bell's inequalities says that:

- no physical theory of local hidden variables can reproduce all of the predictions of quantum mechanics

or in other words

- the correlations in/during Quantum Entanglement (QE) are stronger than could be explained by local hidden variableseven Bell's inequalities are not totally conclusive

is there any other experiment/observation/theoretical-mathematical deduction that would show/prove, or even hint, the existence of QE?
 
Physics news on Phys.org
Sure! Entangled photons can beat the diffraction limit!

http://physicsworld.com/cws/article/news/19514

Zz.
 
ZapperZ said:
Sure! Entangled photons can beat the diffraction limit!

http://physicsworld.com/cws/article/news/19514

Zz.

ok...cool link.

is there a way to reduce the wavelength of a photon other than by entanglement?
 
San K said:
bell's inequalities says that:

- no physical theory of local hidden variables can reproduce all of the predictions of quantum mechanics

...

Well said!

Entanglement is used as a tool to demonstrate the above statement as being true. There are other techniques, separate from the usual Bell tests, as well. I might recommend you check out these subjects which are closely related (Wiki has articles on these too):

GHZ Theorem (a very complex proof but very convincing)
http://www.drchinese.com/David/Bell-MultiPhotonGHZ.pdf

Bell-Kochen-Specker (don't be fooled by the name, this is different than Bell's Theorem)
http://arxiv.org/PS_cache/quant-ph/pdf/9706/9706009v1.pdf

Leggett

Hardy's Paradox
 

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