dorsal/arxiv
View SchemaContextuality for preparations, transformations, and unsharp measurements
| Authors | R. W. Spekkens |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406166 |
| URL | https://arxiv.org/abs/quant-ph/0406166 |
| DOI | 10.1103/PhysRevA.71.052108 |
| Journal | Phys. Rev. A 71, 052108 (2005) |
Abstract
An operational definition of contextuality is introduced which generalizes the standard notion in three ways: (1) it applies to arbitrary operational theories rather than just quantum theory, (2) it applies to arbitrary experimental procedures, rather than just sharp measurements, and (3) 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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"abstract": "An operational definition of contextuality is introduced which generalizes\nthe standard notion in three ways: (1) it applies to arbitrary operational\ntheories rather than just quantum theory, (2) it applies to arbitrary\nexperimental procedures, rather than just sharp measurements, and (3) it\napplies to a broad class of ontological models of quantum theory, rather than\njust deterministic hidden variable models. We derive three no-go theorems for\nontological models, each based on an assumption of noncontextuality for a\ndifferent sort of experimental procedure; one for preparation procedures,\nanother for unsharp measurement procedures (that is, measurement procedures\nassociated with positive-operator valued measures), and a third for\ntransformation procedures. All three proofs apply to two-dimensional Hilbert\nspaces, and are therefore stronger than traditional proofs of contextuality.",
"arxiv_id": "quant-ph/0406166",
"authors": [
"R. W. Spekkens"
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"doi": "10.1103/PhysRevA.71.052108",
"journal_ref": "Phys. Rev. A 71, 052108 (2005)",
"title": "Contextuality for preparations, transformations, and unsharp measurements",
"url": "https://arxiv.org/abs/quant-ph/0406166"
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