Article
Quantum state-independent contextuality requires 13 rays
Author/s | Cabello Quintero, Adán
Kleinmann, Matthias Portillo Fernández, José Ramón |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) Universidad de Sevilla. Departamento de Física Aplicada II |
Publication Date | 2016 |
Deposit Date | 2022-07-28 |
Published in |
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Abstract | We show that, regardless of the dimension of the Hilbert space, there exists no
set of rays revealing state-independent contextuality with less than 13 rays. This
implies that the set proposed by Yu and Oh in dimension ... We show that, regardless of the dimension of the Hilbert space, there exists no set of rays revealing state-independent contextuality with less than 13 rays. This implies that the set proposed by Yu and Oh in dimension three (2012 Phys. Rev. Lett. 108 030402) is actually the minimal set in quantum theory. This contrasts with the case of Kochen–Specker sets, where the smallest set occurs in dimension four. |
Funding agencies | Ministerio de Economía y Competitividad (MINECO). España |
Project ID. | FIS2014-60843-P |
Citation | Cabello Quintero, A., Kleinmann, M. y Portillo Fernández, J.R. (2016). Quantum state-independent contextuality requires 13 rays. Journal of Physics A: Mathematical and Theoretical, 49 (38), 38LT01-1-38LT01-9. |
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