The Unreasonable Effectiveness of the Popescu-Rohrlich Correlations - Comments

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SUMMARY

The forum discussion centers on the Popescu-Rohrlich (PR) correlations and their implications in quantum information theory (QIT). Participants debate the characterization of PR correlations compared to quantum mechanics (QM) correlations, particularly regarding their consistency and the nature of the information they convey. It is established that PR correlations satisfy the no-signaling condition, making them valid within QIT, yet they challenge conservation principles. The discussion highlights the pedagogical advantages of PR correlations in illustrating concepts like the uncertainty principle and the Colbeck-Renner theorem.

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  • Familiarity with quantum information theory (QIT)
  • Knowledge of conservation principles in physics
  • Awareness of the uncertainty principle and Colbeck-Renner theorem
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  • Research the implications of superquantum correlations on conservation laws
  • Explore the no-signaling condition in quantum mechanics
  • Study the pedagogical applications of PR correlations in teaching quantum concepts
  • Investigate the principle of information causality in quantum communication
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Quantum physicists, researchers in quantum information theory, educators teaching quantum mechanics, and anyone interested in the foundational aspects of quantum correlations.

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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?
 
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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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.
 

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