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Phys. Rev. Lett. 90, 190401 (2003) [4 pages]

Kochen-Specker Theorem for a Single Qubit using Positive Operator-Valued Measures

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Adán Cabello*
Departamento de Física Aplicada II, Universidad de Sevilla, 41012 Sevilla, Spain

Received 2 October 2002; published 12 May 2003

A proof of the Kochen-Specker theorem for a single two-level system is presented. It employs five eight-element positive operator-valued measures and a simple algebraic reasoning based on the geometry of the dodecahedron.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.190401
DOI:
10.1103/PhysRevLett.90.190401
PACS:
03.65.Ta, 03.65.Ud, 03.67.–a

*Electronic address: adan@us.es