Article
Basic exclusivity graphs in quantum correlations
Author/s | Cabello Quintero, Adán
Danielsen, Lars Eirik López Tarrida, Antonio José Portillo Fernández, José Ramón |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) Universidad de Sevilla. Departamento de Física Aplicada II |
Publication Date | 2013 |
Deposit Date | 2022-07-28 |
Published in |
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Abstract | A fundamental problem is to understand why quantum theory only violates some noncontextuality (NC)
inequalities and identify the physical principles that prevent higher-than-quantum violations. We prove that
quantum ... A fundamental problem is to understand why quantum theory only violates some noncontextuality (NC) inequalities and identify the physical principles that prevent higher-than-quantum violations. We prove that quantum theory only violates those NC inequalities whose exclusivity graphs contain, as induced subgraphs, odd cycles of length five or more, and/or their complements. In addition, we show that odd cycles are the exclusivity graphs of a well-known family of NC inequalities and that there is also a family of NC inequalities whose exclusivity graphs are the complements of odd cycles. We characterize the maximum noncontextual and quantum values of these inequalities, and provide evidence supporting the conjecture that the maximum quantum violation of these inequalities is exactly singled out by the exclusivity principle. |
Funding agencies | Ministerio de Economía y Competitividad (MINECO). España |
Project ID. | FIS2011-29400 |
Citation | Cabello Quintero, A., Danielsen, L.E., López Tarrida, A.J. y Portillo Fernández, J.R. (2013). Basic exclusivity graphs in quantum correlations. Physical Review A, 88 (3, art. nº 032104), 032104-1-032104-7. |
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