Artículo
All noncontextuality inequalities for the n -cycle scenario
Autor/es | Araújo, Mateus
Quintino, Marco Túlio Budroni, Costantino Terra Cunha, Marcelo Cabello Quintero, Adán |
Departamento | Universidad de Sevilla. Departamento de Física Aplicada II |
Fecha de publicación | 2013-08-21 |
Fecha de depósito | 2024-01-22 |
Publicado en |
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Resumen | The problem of separating classical from quantum correlations is, in general, intractable and has been solved explicitly only in a few cases. In particular, known methods cannot provide general solutions for an arbitrary ... The problem of separating classical from quantum correlations is, in general, intractable and has been solved explicitly only in a few cases. In particular, known methods cannot provide general solutions for an arbitrary number of settings. We provide the complete characterization of the classical correlations and the corresponding maximal quantum violations for the case of n ≥ 4 observables X 0 , ... , X n − 1 , where each consecutive pair { X i , X i + 1 } , sum mod n , is jointly measurable. This generalizes both the Clauser-Horne-Shimony-Holt and the Klyachko-Can-Binicioğlu-Shumovsky scenarios, which are the simplest ones for locality and noncontextuality, respectively. In addition, we provide explicit quantum states and settings with maximal quantum violation and minimal quantum dimension. |
Agencias financiadoras | Conselho Nacional de Desenvolvimento Científico e Tecnológico. Brasil Austrian Science Fund John Templeton Foundation Swiss National Science Foundation (SNFS) |
Identificador del proyecto | FIS2011-29400
293933/ENFOQI Y376-N16 |
Cita | Araújo, M., Quintino, M.T., Budroni, C., Terra Cunha, M. y Cabello Quintero, A. (2013). All noncontextuality inequalities for the n -cycle scenario. Physical Review A (atomic, molecular, and optical physics and quantum information), 88 (2), 022118-1-022118-7. https://doi.org/10.1103/PhysRevA.88.022118. |
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