Varieties of contextuality based on probability and structural nonembeddability

• URL: http://arxiv.org/abs/2103.06110v5
• Date: Mon, 13 Jun 2022 17:47:43 GMT
• Title: Varieties of contextuality based on probability and structural nonembeddability
• Authors: Karl Svozil
• Abstract summary: Kochen and Specker's Theorem0 is a demarcation criterion for differentiating between those groups. Probability 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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