Varieties of contextuality based on probability and structural nonembeddability
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arXiv
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| Format: | Preprint |
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2021
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| _version_ | 1866908700448391168 |
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| author | Svozil, Karl |
| author_facet | Svozil, Karl |
| contents | Different analytic notions of contextuality fall into two major groups: probabilistic and strong notions of contextuality. Kochen and Specker's Theorem~0 is a demarcation criterion for differentiating between those groups. Whereas probabilistic contextuality still allows classical models, albeit with nonclassical probabilities, the logico-algebraic "strong" form of contextuality characterizes collections of quantum observables that have no faithfully embedding into (extended) Boolean algebras. Both forms indicate a classical in- or under-determination that can be termed "value indefinite" and formalized by partial functions of theoretical computer sciences. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2103_06110 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Varieties of contextuality based on probability and structural nonembeddability Svozil, Karl Quantum Physics Different analytic notions of contextuality fall into two major groups: probabilistic and strong notions of contextuality. Kochen and Specker's Theorem~0 is a demarcation criterion for differentiating between those groups. Whereas probabilistic contextuality still allows classical models, albeit with nonclassical probabilities, the logico-algebraic "strong" form of contextuality characterizes collections of quantum observables that have no faithfully embedding into (extended) Boolean algebras. Both forms indicate a classical in- or under-determination that can be termed "value indefinite" and formalized by partial functions of theoretical computer sciences. |
| title | Varieties of contextuality based on probability and structural nonembeddability |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2103.06110 |