Monogamy Relations for Relativistically Causal Correlations
Author Information
Author(s): Mirjam Weilenmann
Primary Institution: Département de Physique Appliquée, Université de Genève, Genève, Switzerland
Hypothesis
Do correlations compatible with relativistic causality need to satisfy all non-signalling conditions?
Conclusion
The study shows that relativistically causal correlations must satisfy strong monogamy relations, which restrict the types of mechanisms that could lead to such correlations.
Supporting Evidence
- Correlations satisfying only a subset of non-signalling conditions must obey monogamy relations.
- Monogamy relations restrict the influence of space-like separated random variables.
- The study provides a general method to derive entropic inequalities for relativistically causal correlations.
Takeaway
This study is about how certain rules in physics prevent information from traveling faster than light, and it shows that these rules create special relationships between different pieces of information.
Methodology
The study derives entropic inequalities to explore the constraints imposed by relativistic causality on correlations observed by multiple parties.
Limitations
The study does not provide a complete explanation for the mechanisms leading to relativistically causal correlations.
Digital Object Identifier (DOI)
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