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Optimal Inequalitie...
Optimal Inequalities for State-Independent Contextuality
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- Kleinmann, Matthias (author)
- University of Siegen, Germany
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- Budroni, Costantino (author)
- University of Siegen, Germany
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- Larsson, Jan-Åke (author)
- Linköpings universitet,Informationskodning,Tekniska högskolan
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- Guehne, Otfried (author)
- University of Siegen, Germany
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- Cabello, Adan (author)
- University of Seville, Spain
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(creator_code:org_t)
- American Physical Society, 2012
- 2012
- English.
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In: Physical Review Letters. - : American Physical Society. - 0031-9007 .- 1079-7114. ; 109:25, s. 250402-
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Abstract
Subject headings
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- Contextuality is a natural generalization of nonlocality which does not need composite systems or spacelike separation and offers a wider spectrum of interesting phenomena. Most notably, in quantum mechanics there exist scenarios where the contextual behavior is independent of the quantum state. We show that the quest for an optimal inequality separating quantum from classical noncontextual correlations in a state-independent manner admits an exact solution, as it can be formulated as a linear program. We introduce the noncontextuality polytope as a generalization of the locality polytope and apply our method to identify two different tight optimal inequalities for the most fundamental quantum scenario with state-independent contextuality.
Keyword
- TECHNOLOGY
- TEKNIKVETENSKAP
Publication and Content Type
- ref (subject category)
- art (subject category)
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