Proving Entanglement - Do we need Bells Theorem?

In summary: The numerous/easier proofs are:- Almost all experiments in which two photons are generated via- SPDC (Delayed Choice Quantum Eraser, Mach–Zehnder interferometer et el.)- Fiber coupler- Quantum dots- Atomic cascades (used in the original Bell's test/theorem)In summary, these proofs demonstrate nonlocality and provide additional evidence for the existence of quantum entanglement.
  • #1
San K
911
1
Question: Do we really need to spend too much time on Bell's theorem/test when there are numerous/easier proofs of quantum entanglement?

The numerous/easier proofs are: - Almost all experiments in which two photons are generated via

a) SPDC (Delayed Choice Quantum Eraser, Mach–Zehnder interferometer et el.)
b) Fiber coupler
c) Quantum dots
d) Atomic cascades (used in the original Bell's test/theorem)

For example in DCQE (http://en.wikipedia.org/wiki/Delayed_choice_quantum_eraser):

one of the twin/entangled photon's path can be manipulated to get (or erase) which-way information and the effect can be instantaneously seen on its remote twin in term of the patterns the twin would make on the screen.

Is there a way/logic that LHV (local hidden variable) theory can explain this? Are there any loopholes?

Spending time on Bell's theorem might be useful as it serves as additional/secondary proof and it proves/confirms the cosine relationship (from QM theory)

however do we need to argue/doubt the existence of Quantum Entanglement?
 
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  • #2
San K said:
one of the twin/entangled photon's path can be manipulated to get (or erase) which-way information and the effect can be instantaneously seen on its remote twin in term of the patterns the twin would make on the screen.
No, that is not true. (If it was, it would mean that entanglement can be used to send a controlled signal superluminally, which cannot be done.) The effect cannot be seen instantaneously on the screen of the remote twin. The effect can only be seen through coincidences in measurements of BOTH members of entangled pairs.

The experiments you mention nicely DEMONSTRATE nonlocality, but do NOT PROVE it rigorously. (In principle, these experiments could be explained in terms of LHV's, but such an explanation would probably look quite artificial.)
 
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  • #3
San K said:
one of the twin/entangled photon's path can be manipulated to get (or erase) which-way information and the effect can be instantaneously seen on its remote twin in term of the patterns the twin would make on the screen.

EDIT: the effect can be seen/validated after comparison of the two entangled photon via coincidence counter

EDITORS note: I forgot to mention that. Thanks for reminding, Demystifier
 
  • #4
San K said:
Question: Do we really need to spend too much time on Bell's theorem/test when there are numerous/easier proofs of quantum entanglement?
Yes we really need Bell's theorem/tests to distinguish between two cases:
- correlations between events that have common cause
- correlations between events where one event is cause of the other
 

Related to Proving Entanglement - Do we need Bells Theorem?

1. What is entanglement and why is it important to prove?

Entanglement is a phenomenon in quantum mechanics where two particles become connected in such a way that their properties are correlated, even when they are separated by large distances. It is important to prove because it helps us understand the strange behavior of particles at a quantum level and has potential applications in quantum computing and communication.

2. What is Bell's Theorem and how does it relate to entanglement?

Bell's Theorem is a mathematical proof that shows the limitations of local hidden variable theories in explaining the correlations between entangled particles. It states that if entanglement is real, then there are no local hidden variables that can explain the observed correlations between particles.

3. How can we experimentally prove entanglement?

There are several methods for experimentally proving entanglement, such as using quantum tomography, quantum state tomography, or Bell's inequality tests. These experiments involve creating entangled particles and measuring their properties to show the existence of non-local correlations.

4. Why is Bell's Theorem considered the ultimate test for entanglement?

Bell's Theorem is considered the ultimate test for entanglement because it provides a rigorous mathematical proof that shows the existence of non-local correlations between entangled particles. It is also considered the ultimate test because it rules out any potential explanations for these correlations that involve hidden variables.

5. What are the implications of proving entanglement through Bell's Theorem?

If entanglement is proven through Bell's Theorem, it would provide strong evidence for the validity of quantum mechanics and the existence of non-local correlations between particles. This could have significant implications for our understanding of the universe and could lead to advancements in quantum technologies such as computing and communication.

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