Contextuality and Non-Locality

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SUMMARY

The discussion centers on the relationship between contextuality and non-locality in quantum mechanics. It establishes that while every contextual state is non-local, the converse does not hold true, as exemplified by the spin of a single particle, which is contextual but not non-local. The CHSH test is referenced to support the assertion that non-locality can be viewed as a form of contextuality. Additionally, the conversation highlights that contextuality is a broader concept that encompasses non-locality, particularly in the context of quantum information.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly contextuality and non-locality.
  • Familiarity with the CHSH test and its implications in quantum theory.
  • Knowledge of spin-1/2 states and their properties in quantum physics.
  • Basic comprehension of quantum information theory and non-signaling features.
NEXT STEPS
  • Study the CHSH test in detail to understand its role in contextuality and non-locality.
  • Explore the implications of contextuality in quantum information theory.
  • Research the properties of spin-1/2 states and their relevance to contextuality and non-locality.
  • Read the papers referenced in the discussion, particularly those available at http://xxx.lanl.gov/abs/quant-ph/0609163 and http://arxiv.org/pdf/1207.1952v1.pdf.
USEFUL FOR

Quantum physicists, researchers in quantum information theory, and students studying the principles of contextuality and non-locality in quantum mechanics.

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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