The Unreasonable Effectiveness of the Popescu-Rohrlich Correlations - Comments

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Discussion Overview

The discussion revolves around the Popescu-Rohrlich (PR) correlations in comparison to quantum mechanics (QM) correlations, exploring their implications in quantum information theory and the nature of information transmission. Participants examine the characterization of these correlations and their adherence to established principles in the field.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants propose that the difference between PR and QM correlations could be characterized as providing inconsistent results or simultaneous answers to incompatible questions.
  • Others argue that quantum information theory (QIT) does not support these characterizations, as PR correlations satisfy the no-signaling condition, making them acceptable within QIT.
  • A participant mentions that despite the acceptance of PR correlations in QIT, there is a consensus that superquantum correlations violate certain conservation principles, which they believe are legitimate.
  • It is noted that there is a search for a more general explanation for why PR correlations are not physically instantiated, as discussed in referenced materials.
  • Another point raised is that the principle of information causality allows PR correlations to transmit more than n bits of classical information with an n bit signal, which challenges traditional views on information transmission.
  • Some participants highlight the pedagogical advantages of PR correlations, suggesting that they provide clearer insights into concepts like the uncertainty principle and the Colbeck-Renner theorem compared to quantum correlations.

Areas of Agreement / Disagreement

Participants express differing views on the characterization of PR correlations and their implications in quantum information theory, indicating that multiple competing perspectives remain without a clear consensus.

Contextual Notes

The discussion includes references to conservation principles and the no-signaling condition, which may depend on specific definitions and assumptions that are not fully resolved in the conversation.

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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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