Contextuality and Non-Locality

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Discussion Overview

The discussion revolves around the relationship between contextuality and non-locality in quantum mechanics. Participants explore whether every contextual state is necessarily non-local and vice versa, examining implications for quantum information and entanglement.

Discussion Character

  • Debate/contested

Main Points Raised

  • Some participants assert that every state that is contextual is non-local.
  • Others challenge this claim, providing examples such as the spin of a single particle, which is contextual but not non-local.
  • A participant emphasizes that the question primarily concerns the converse proposition, suggesting that non-locality can be viewed as a form of contextuality.
  • Another participant agrees that non-locality can be considered a form of contextuality, referencing specific literature to support this view.
  • Some participants propose that contextuality is a broader concept that encompasses non-locality, citing examples from quantum information theory.
  • There is mention of the existence of non-local yet non-contextual states, indicating complexity in the relationship between these concepts.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between contextuality and non-locality, with no consensus reached on whether every non-local state is contextual or vice versa.

Contextual Notes

Participants reference specific tests and literature, indicating that definitions and interpretations of contextuality and non-locality may vary, which could affect the discussion's conclusions.

audioloop
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Every state that is contextual is nonlocal.

...and the inverse, is every state that is nonlocal is contextual ?
 
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audioloop said:
Every state that is contextual is nonlocal.
Not true. For example, spin of a single particle is contextual, but not nonlocal.
 
Demystifier said:
Not true. For example, spin of a single particle is , but not nonlocal.

talking about entanglement.the question is really for the second proposition (vinculated), the first is assumed from the beginning...that every state that is contextual with respect to the defined test of contextuality is nonlocal as per the CHSH test, but the converse is not true..non locality like a form of contextuality.
 
Last edited:
mutually agree.
contextuality is broader, subsumes nonlocality.
same thing in quantum information (nonlocality is a generic feature of non-signaling).Existence of two spin-1/2 states that are non-local yet non-contextual.
http://arxiv.org/pdf/1207.1952v1.pdf
 
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