Entanglement and Bell’s inequality Question

In summary, Bell's inequality is a fundamental principle in quantum mechanics that is used to test for entanglement between particles. It states that entangled particles will show perfect correlation when measured at the same angle. However, this principle fails in the case of entangled photons, where different angles have different probabilities of the photon passing through a polarizer. This is in contrast to classical scenarios where the Bell inequality holds. Therefore, Bell's inequality is a relevant concept for understanding entanglement.
  • #36
rede96 said:
Thanks for your help with this. I think I understand the EPR argument a lot better now and can see how Bell's inequality and experimental results lead to the conclusion that there is something very non-classical going on. But my mind still struggles accepting that this is spooky action at a distance, even though it is obvious one is forced to accept that conclusion.

I was also curious to know is entanglement something that persists? So once the wave function has collapsed then I assume that anything further I do to particle A, such as run it through a magnetic field and change the spin direction for example, would have no effect on partial B? Or are they forever entangled?

The general rule is that once you measure either particle, entanglement ceases.

However, there are multiple degrees of entanglement. It is also possible to collapse one degree and leave others intact. For example, you collapse the spin degree and leave position/momentum entanglement intact for the particle pair.
 
<h2>What is entanglement?</h2><p>Entanglement is a phenomenon in quantum mechanics where two or more particles become connected in such a way that the state of one particle is dependent on the state of the other, even when they are separated by large distances.</p><h2>What is Bell's inequality?</h2><p>Bell's inequality is a mathematical expression that tests the limits of classical physics by predicting the maximum correlation between two particles that are not entangled. If this inequality is violated, it suggests that quantum mechanics is the more accurate description of reality.</p><h2>How does entanglement relate to Bell's inequality?</h2><p>Entanglement is a key concept in Bell's inequality. The violation of Bell's inequality demonstrates that entanglement exists and that classical physics cannot fully explain the behavior of entangled particles.</p><h2>What are some real-world applications of entanglement and Bell's inequality?</h2><p>Entanglement has potential applications in secure communication, quantum computing, and quantum teleportation. Bell's inequality has been used to test the foundations of quantum mechanics and to develop new technologies such as quantum cryptography.</p><h2>Can entanglement and Bell's inequality be explained in simple terms?</h2><p>While the concepts of entanglement and Bell's inequality can be difficult to understand, they can be explained in simple terms. Entanglement is like a pair of gloves that are always connected, no matter how far apart they are. Bell's inequality is like a test that determines if the gloves are truly connected or if they are just coincidentally similar.</p>

FAQ: Entanglement and Bell’s inequality Question

What is entanglement?

Entanglement is a phenomenon in quantum mechanics where two or more particles become connected in such a way that the state of one particle is dependent on the state of the other, even when they are separated by large distances.

What is Bell's inequality?

Bell's inequality is a mathematical expression that tests the limits of classical physics by predicting the maximum correlation between two particles that are not entangled. If this inequality is violated, it suggests that quantum mechanics is the more accurate description of reality.

How does entanglement relate to Bell's inequality?

Entanglement is a key concept in Bell's inequality. The violation of Bell's inequality demonstrates that entanglement exists and that classical physics cannot fully explain the behavior of entangled particles.

What are some real-world applications of entanglement and Bell's inequality?

Entanglement has potential applications in secure communication, quantum computing, and quantum teleportation. Bell's inequality has been used to test the foundations of quantum mechanics and to develop new technologies such as quantum cryptography.

Can entanglement and Bell's inequality be explained in simple terms?

While the concepts of entanglement and Bell's inequality can be difficult to understand, they can be explained in simple terms. Entanglement is like a pair of gloves that are always connected, no matter how far apart they are. Bell's inequality is like a test that determines if the gloves are truly connected or if they are just coincidentally similar.

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