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- Publisher Website: 10.1103/PhysRevLett.112.040404
- Scopus: eid_2-s2.0-84894445124
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Article: Necessary and sufficient condition for state-independent contextual measurement scenarios
Title | Necessary and sufficient condition for state-independent contextual measurement scenarios |
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Authors | |
Issue Date | 2014 |
Citation | Physical Review Letters, 2014, v. 112, n. 4, article no. 040404 How to Cite? |
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 χf(G) and is shown to identify all state-independent contextual measurement scenarios including those that go beyond the original Kochen-Specker paradigm. © 2014 American Physical Society. |
Persistent Identifier | http://hdl.handle.net/10722/276488 |
ISSN | 2023 Impact Factor: 8.1 2023 SCImago Journal Rankings: 3.040 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Ramanathan, Ravishankar | - |
dc.contributor.author | Horodecki, Pawel | - |
dc.date.accessioned | 2019-09-18T08:33:45Z | - |
dc.date.available | 2019-09-18T08:33:45Z | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | Physical Review Letters, 2014, v. 112, n. 4, article no. 040404 | - |
dc.identifier.issn | 0031-9007 | - |
dc.identifier.uri | http://hdl.handle.net/10722/276488 | - |
dc.description.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 χf(G) and is shown to identify all state-independent contextual measurement scenarios including those that go beyond the original Kochen-Specker paradigm. © 2014 American Physical Society. | - |
dc.language | eng | - |
dc.relation.ispartof | Physical Review Letters | - |
dc.title | Necessary and sufficient condition for state-independent contextual measurement scenarios | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1103/PhysRevLett.112.040404 | - |
dc.identifier.scopus | eid_2-s2.0-84894445124 | - |
dc.identifier.volume | 112 | - |
dc.identifier.issue | 4 | - |
dc.identifier.spage | article no. 040404 | - |
dc.identifier.epage | article no. 040404 | - |
dc.identifier.eissn | 1079-7114 | - |
dc.identifier.isi | WOS:000331947500001 | - |
dc.identifier.issnl | 0031-9007 | - |