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From the Kochen-Specker theorem to noncontextuality inequalities without assuming determinism
Ravi Kunjwal1, Robert W Spekkens2
1Optics and Quantum Information Group, The Institute of Mathematical Sciences, C.I.T Campus, Taramani, Chennai 600 113, India.
Physical Review Letters
|September 26, 2015
Summary
This study introduces new inequalities to test noncontextual hidden variable models in quantum mechanics. Violating these inequalities rules out noncontextual explanations, even without assuming determinism.
Area of Science:
- Quantum mechanics
- Foundations of physics
- Information theory
Background:
- The Kochen-Specker theorem proves that quantum theory cannot be explained by deterministic, noncontextual hidden variable models.
- Noncontextuality means a property's value is independent of the measurement context.
Purpose of the Study:
- To propose a generalized scheme for testing noncontextuality in quantum experiments.
- To derive inequalities that challenge noncontextual models without assuming determinism.
Main Methods:
- Generalizing the concept of noncontextuality to include both measurements and preparations.
- Developing new inequalities based on this generalized notion of noncontextuality.
Main Results:
- The proposed inequalities provide a framework to experimentally test for noncontextuality.
- A violation of these inequalities definitively rules out noncontextual explanations, irrespective of determinism.
Conclusions:
- The findings challenge the possibility of noncontextual descriptions for quantum phenomena.
- This operational approach is independent of quantum theory itself, applicable to any theory explaining the experimental results.
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