Violating of CHSH inequality

In summary, experiments confirm instantaneous collapse, but also that it is consistent with collapse delayed until detection.
  • #1
StevieTNZ
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Obviously a violation of the CHSH inequality means that local realistic theories are untenable.

If we sent two entangled photons towards detectors (far enough away that for information to travel, you'd require it to go faster than light). One reaches a detector before the other, so collapses.

How do we know the partner photon doesn't assume the same polaristion until it reaches its filter and detector?
 
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  • #2
StevieTNZ said:
Obviously a violation of the CHSH inequality means that local realistic theories are untenable.
By the way, none of what you're saying is based on the CHSH inequality in particular, just Bell's theorem in general. So you might as well work with a much simpler Bell inequality for entangled photons, described in the fantastic explanation "quantumtantra.com/bell2.html" . (The only advantage of CHSH is that it's more practical to test experimentally.)

And incidentally, you should know that there are various fringe people who try desperately to cling to local realism by either exploiting experimental deficiencies in practical Bell tests (e.g. fair sampling), or by theoretical loopholes in Bell's theorem (e.g. superdeterminism); you can read about many if not all these attempts in Bell threads on this forum. But experimental and theoretical advances may make such positions increasingly difficult to maintain.
StevieTNZ said:
If we sent two entangled photons towards detectors (far enough away that for information to travel, you'd require it to go faster than light). One reaches a detector before the other, so collapses.

How do we know the partner photon doesn't assume the same polaristion until it reaches its filter and detector?
That is precisely the Copenhagen view of things.
 
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  • #3
So its not correct to say that when one photon takes on a polarisation, the other does (even if it's mid-air heading towards a detector)?
 
  • #4
StevieTNZ said:
So its not correct to say that when one photon takes on a polarisation, the other does (even if it's mid-air heading towards a detector)?
I told you, the idea of the other photon assuming the same polarization as the first photon is precisely the view of the Copenhagen interpretation.
 
  • #5
lugita15 said:
I told you, the idea of the other photon assuming the same polarization as the first photon is precisely the view of the Copenhagen interpretation.

Yes, but I'm asking when the photon takes on that same polarisation? I thought I made that clear.
 
  • #6
StevieTNZ said:
Yes, but I'm asking when the photon takes on that same polarisation? I thought I made that clear.
As you said, exactly when the first photon's polarization is measured, at least according to Copenhagen.
 
  • #7
StevieTNZ said:
Yes, but I'm asking when the photon takes on that same polarisation? I thought I made that clear.

Experiments confirm that it is completely consistent with instantaneous collapse. However, the same experiments also confirm it as consistent with collapse delayed until detection.

So I am not contradicting lugita15, but merely pointing out that to know the precise time collapse occurs is not possible. You would really need to know more about the mechanism, which we don't. For example, the "when" may not really be any specific point in time if you consider a block time structure. Then it is more like "when-where".
 
  • #8
lugita15 said:
As you said, exactly when the first photon's polarization is measured, at least according to Copenhagen.

i guess it has to be the moment any of the entangled photons is detected (first), else you need to assume a third (undiscovered) entity that holds/stores the (spin info) information (and then transmits) to the photon that is detected later.
 
  • #9
I wonder in this case:
Two pairs of entangled photons - (VV+HH) description for both pairs.
(VV+HH) TENSOR (VV+HH)

Measure each photon along the 45/135 basis.

Does QM predict that 1/2 the times we get 45 for photon 1 and photon 2 (from pair 1), pair 2's photons take on 135 polarisation, when photon 3 and 4 are measured?
 

1. What is the CHSH inequality?

The CHSH inequality is a mathematical expression used to test the compatibility of quantum mechanics with local hidden variable theories. It involves measuring correlations between two particles that were previously entangled, and comparing them to a certain threshold value. If the measured value exceeds this threshold, then quantum mechanics is favored over local hidden variable theories.

2. How is the CHSH inequality violated?

The CHSH inequality can be violated when the measured correlations between two entangled particles exceed the threshold value. This means that the results of the measurements cannot be explained by local hidden variables and provide evidence for the validity of quantum mechanics.

3. Why is the violation of the CHSH inequality significant?

The violation of the CHSH inequality is significant because it provides evidence for the non-locality of quantum mechanics. It shows that the behavior of entangled particles cannot be explained by local hidden variables and supports the idea that particles can have instantaneous communication with each other regardless of distance.

4. How is the CHSH inequality tested in experiments?

In experiments, the CHSH inequality is tested by measuring correlations between entangled particles and comparing them to the threshold value. This can be done using various methods such as Bell tests, which involve measuring the polarization of photons or the spin of particles in a controlled environment.

5. What are the implications of violating the CHSH inequality?

The violation of the CHSH inequality has significant implications for our understanding of the fundamental nature of reality. It challenges the classical view of causality and suggests that there may be hidden connections between seemingly separate particles. It also has practical implications for technologies such as quantum cryptography and quantum computing.

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