Monogamy relations for relativistically causal correlations
Abstract Non-signalling conditions encode minimal requirements that any (quantum) systems must satisfy in order to be consistent with special relativity. Recent works have argued that in scenarios involving more than two parties, correlations compatible with relativistic causality do not have to sat...
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Nature Portfolio
2025-01-01
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| Series: | Nature Communications |
| Online Access: | https://doi.org/10.1038/s41467-024-54855-1 |
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| author | Mirjam Weilenmann |
| author_facet | Mirjam Weilenmann |
| author_sort | Mirjam Weilenmann |
| collection | DOAJ |
| description | Abstract Non-signalling conditions encode minimal requirements that any (quantum) systems must satisfy in order to be consistent with special relativity. Recent works have argued that in scenarios involving more than two parties, correlations compatible with relativistic causality do not have to satisfy all possible non-signalling conditions but only a subset of them. Here we show that correlations satisfying only this subset of constraints have to satisfy highly non-local monogamy relations between the effects of space-like separated random variables. These monogamy relations take the form of entropic inequalities between the various systems and we give a general method to derive them. Using these monogamy relations, we refute previous suggestions for physical mechanisms that could lead to relativistically causal correlations, demonstrating that such mechanisms would lead to superluminal signalling. |
| format | Article |
| id | doaj-art-f77d5e48352f4080b2cb44192094e744 |
| institution | Kabale University |
| issn | 2041-1723 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Nature Communications |
| spelling | doaj-art-f77d5e48352f4080b2cb44192094e7442025-01-05T12:37:26ZengNature PortfolioNature Communications2041-17232025-01-011611810.1038/s41467-024-54855-1Monogamy relations for relativistically causal correlationsMirjam Weilenmann0Département de Physique Appliquée, Université de GenèveAbstract Non-signalling conditions encode minimal requirements that any (quantum) systems must satisfy in order to be consistent with special relativity. Recent works have argued that in scenarios involving more than two parties, correlations compatible with relativistic causality do not have to satisfy all possible non-signalling conditions but only a subset of them. Here we show that correlations satisfying only this subset of constraints have to satisfy highly non-local monogamy relations between the effects of space-like separated random variables. These monogamy relations take the form of entropic inequalities between the various systems and we give a general method to derive them. Using these monogamy relations, we refute previous suggestions for physical mechanisms that could lead to relativistically causal correlations, demonstrating that such mechanisms would lead to superluminal signalling.https://doi.org/10.1038/s41467-024-54855-1 |
| spellingShingle | Mirjam Weilenmann Monogamy relations for relativistically causal correlations Nature Communications |
| title | Monogamy relations for relativistically causal correlations |
| title_full | Monogamy relations for relativistically causal correlations |
| title_fullStr | Monogamy relations for relativistically causal correlations |
| title_full_unstemmed | Monogamy relations for relativistically causal correlations |
| title_short | Monogamy relations for relativistically causal correlations |
| title_sort | monogamy relations for relativistically causal correlations |
| url | https://doi.org/10.1038/s41467-024-54855-1 |
| work_keys_str_mv | AT mirjamweilenmann monogamyrelationsforrelativisticallycausalcorrelations |