The DOI matches its Crossref record; 55 of the 55 references it cites were found in a registry or an index.
Contextuality for preparations, transformations, and unsharp measurements
Open accessAbstract
The Bell-Kochen-Specker theorem establishes the impossibility of a noncontextual hidden variable model of quantum theory, or equivalently, that quantum theory is contextual. In this paper, an operational definition of contextuality is introduced which generalizes the standard notion in three ways: (i) it applies to arbitrary operational theories rather than just quantum theory, (ii) it applies to arbitrary experimental procedures rather than just sharp measurements, and (iii) it applies to a broad class of ontological models of quantum theory rather than just deterministic hidden variable models. We derive three no-go theorems for ontological models, each based on an assumption of noncontextuality for a different sort of experimental procedure; one for preparation procedures, another for unsharp measurement procedures (that is, measurement procedures associated with positive-operator valued measures), and a third for transformation procedures. All three proofs apply to two-dimensional Hilbert spaces, and are therefore stronger than traditional proofs of contextuality.
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Cites
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Cited by
Information processing in generalized probabilistic theories
Barrett, J. (2007) · Physical Review A · doi:10.1103/physreva.75.032304 · Cited by 768
Contextuality supplies the ‘magic’ for quantum computation
Howard, M., Wallman, J., Veitch, V., & Emerson, J. (2014) · Nature · doi:10.1038/nature13460 · Cited by 616
Fuchs, C. A., & Schack, R. (2013) · Reviews of Modern Physics · doi:10.1103/revmodphys.85.1693 · Cited by 321
Liang, Y.-C., Spekkens, R. W., & Wiseman, H. M. (2011) · Physics Reports · doi:10.1016/j.physrep.2011.05.001 · Cited by 266
Self-citationQuantum Theory: Informational Foundations and Foils
(2016) · Fundamental Theories of Physics · doi:10.1007/978-94-017-7303-4 · Cited by 178
Metadata
- Authors
- Spekkens, R. W.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2005-05-31
- Volume
- 71
- Issue
- 5
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2039772562
- Cited by
- 630
- References
- 55
- FWCI
- 3.69
- Type
- journal article
- Language
- en
- Open access
- green
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