The Unreasonable Effectiveness of the Popescu-Rohrlich Correlations - Comments

In summary, the blog post discusses the Popescu-Rohrlich (PR) correlations, which have been shown to be more powerful than quantum correlations. While some have raised concerns about the implications of these correlations, they still satisfy the no-signaling condition and are considered legitimate in quantum information theory. However, there are still ongoing discussions about the physical instantiation of these correlations and their relation to conservation principles and information causality. The PR correlations also have pedagogical advantages in explaining concepts such as the uncertainty principle and the Colbeck-Renner theorem.
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Greg Bernhardt submitted a new blog post

The Unreasonable Effectiveness of the Popescu-Rohrlich Correlations
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Besides the creation of angular momentum, would you say we could also characterise the difference between PR and QM correlations as either
  1. giving us inconsistent results?
  2. or perhaps simultaneous answers to incompatible questions?
 
  • #3
akvadrako said:
Besides the creation of angular momentum, would you say we could also characterise the difference between PR and QM correlations as either
  1. giving us inconsistent results?
  2. or perhaps simultaneous answers to incompatible questions?

I'm not sure those in quantum information theory (QIT) would agree with either characterization. The PR correlations satisfy the no-signaling condition, so as far as QIT is concerned they are legit. That being said, I have had many exchanges with people in QIT and none of them dispute the fact that superquantum correlations violate the conservation principles introduced in my Insights. And, most agree that those conservation principles are legit. However, they are looking for something "more general" to explain why the PR correlations are not physically instantiated. We address their desideratum in Reference 1
 
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  • #4
There's also the principle of information causality, the PR correlations allow one to transmit more than n bits of classical information with an n bit signal.

The pedagogical advantage of the PR correlations is that things like the uncertainty principle (or even stronger results like the Colbeck-Renner theorem) fall out quite easily from them in a way that is much easier to see than for Quantum Correlations.
 

Related to The Unreasonable Effectiveness of the Popescu-Rohrlich Correlations - Comments

1. What are the Popescu-Rohrlich correlations?

The Popescu-Rohrlich correlations refer to a phenomenon in quantum physics where two particles that are entangled, or connected in a way that their properties are dependent on each other, demonstrate a high degree of correlation in their measurements even when they are separated by large distances.

2. Why are these correlations considered "unreasonable"?

These correlations are considered unreasonable because they violate the principle of locality, which states that distant objects cannot have an immediate, direct influence on each other. The fact that these correlations can exist despite large distances between the particles challenges our understanding of cause and effect in the physical world.

3. Who discovered the Popescu-Rohrlich correlations?

The Popescu-Rohrlich correlations were first described by physicists Sandu Popescu and Daniel Rohrlich in a paper published in the journal Foundations of Physics Letters in 1994.

4. What is the significance of the Popescu-Rohrlich correlations?

The Popescu-Rohrlich correlations have significant implications for our understanding of quantum mechanics and the nature of reality. They suggest that there may be hidden connections between distant particles and challenge our traditional understanding of causality.

5. How are the Popescu-Rohrlich correlations being studied and applied today?

Scientists continue to study the Popescu-Rohrlich correlations and their implications for quantum mechanics and our understanding of the universe. These correlations are also being explored for potential applications in quantum information processing and communication, such as in quantum teleportation and cryptography.

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