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Abstract
The problem of identifying measurement scenarios capable of revealing state-independent contextuality in a given Hilbert space dimension is considered. We begin by showing that for any given dimension d and any measurement scenario consisting of projective measurements, (i) the measure of contextuality of a quantum state is entirely determined by its spectrum, so that pure and maximally mixed states represent the two extremes of contextual behavior, and that (ii) state-independent contextuality is equivalent to the contextuality of the maximally mixed state up to a global unitary transformation. We then derive a necessary and sufficient condition for a measurement scenario represented by an orthogonality graph to reveal state-independent contextuality. This condition is given in terms of the fractional chromatic number of the graph χ f (G) and is shown to identify all state-independent contextual measurement scenarios including those that go beyond the original Kochen-Specker paradigm.
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Authors (2)
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Ravishankar Ramanathan
- . .
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Details
- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
PHYSICAL REVIEW LETTERS
no. 112,
pages 1 - 5,
ISSN: 0031-9007 - Language:
- English
- Publication year:
- 2014
- Bibliographic description:
- Ramanathan R., Horodecki P.: Necessary and Sufficient Condition for State-Independent Contextual Measurement Scenarios// PHYSICAL REVIEW LETTERS. -Vol. 112, nr. 040404 (2014), s.1-5
- DOI:
- Digital Object Identifier (open in new tab) 10.1103/physrevlett.112.040404
- Verified by:
- Gdańsk University of Technology
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