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A Kochen-Specker in...
A Kochen-Specker inequality for a SIC
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- Bengtsson, Ingemar (author)
- Stockholms universitet,Fysikum
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- Blanchfield, Kate, 1986- (author)
- Stockholms universitet,Fysikum
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- Cabello, Adán (author)
- Stockholms universitet,Fysikum,Universidad de Sevilla, Spain
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(creator_code:org_t)
- Elsevier BV, 2012
- 2012
- English.
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In: Physics Letters A. - : Elsevier BV. - 0375-9601 .- 1873-2429. ; 376:4, s. 374-376
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Abstract
Subject headings
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- Yu and Oh (eprint) [1] have given a state-independent proof of the Kochen–Specker theorem in three dimensions using only 13 rays. The proof consists of showing that a non-contextual hidden variable theory necessarily leads to an inequality that is violated by quantum mechanics. We give a similar proof making use of 21 rays that constitute aSIC (symmetric informationally-complete positive operator-valued measure) and a complete set of MUB (mutually unbiased bases). A theory-independent inequality is also presented using the same 21 rays, as required for experimental tests of contextuality.
Subject headings
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
- NATURVETENSKAP -- Fysik -- Atom- och molekylfysik och optik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Atom and Molecular Physics and Optics (hsv//eng)
Keyword
- Kochen–Specker theorem
- Non-contextuality
- SIC and four MUB
- Hesse configuration
- Theoretical Physics
- teoretisk fysik
Publication and Content Type
- ref (subject category)
- art (subject category)
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