Adán Cabello, Matthias Kleinmann, José R. Portillo
Published 2016-06-06Version 1
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 [Phys. Rev. Lett. 108, 030402 (2012)] 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.
Comments: 8 pages, 2 tables, 1 figure
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Teleporting a quantum state in a subset of the whole Hilbert space
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