dorsal/arxiv
View SchemaContextuality Derived from Minimal Decision Dynamics: Quantum Tug-of-War Decision Making
| Authors | Song-Ju Kim |
|---|---|
| Categories | |
| ArXiv ID | 2601.10034vv1 |
| URL | https://arxiv.org/abs/2601.10034 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
Decision making often exhibits context dependence that challenges classical probability theory. While quantum cognition has successfully modeled such phenomena, it remains unclear whether quantum probability is merely a convenient assumption or a necessary consequence of decision dynamics. Here we present a theoretical framework in which contextuality arises generatively from physically grounded constraints on decision making. By developing a quantum extension of the Tug-of-War (TOW) model, we show that conservation-based internal state updates and measurement-induced disturbance preclude any non-contextual classical description with a single, unified internal state. Contextuality therefore emerges as a structural consequence of adaptive learning dynamics. We further show that the resulting measurement structure admits Klyachko-Can-Binicioglu-Shumovsky (KCBS)-type contextuality witnesses in a minimal single-system setting. These results indicate that quantum probability is not merely a descriptive convenience, but an unavoidable effective theory for adaptive decision dynamics.
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"abstract": "Decision making often exhibits context dependence that challenges classical probability theory. While quantum cognition has successfully modeled such phenomena, it remains unclear whether quantum probability is merely a convenient assumption or a necessary consequence of decision dynamics. Here we present a theoretical framework in which contextuality arises generatively from physically grounded constraints on decision making. By developing a quantum extension of the Tug-of-War (TOW) model, we show that conservation-based internal state updates and measurement-induced disturbance preclude any non-contextual classical description with a single, unified internal state. Contextuality therefore emerges as a structural consequence of adaptive learning dynamics. We further show that the resulting measurement structure admits Klyachko-Can-Binicioglu-Shumovsky (KCBS)-type contextuality witnesses in a minimal single-system setting. These results indicate that quantum probability is not merely a descriptive convenience, but an unavoidable effective theory for adaptive decision dynamics.",
"arxiv_id": "2601.10034",
"authors": [
"Song-Ju Kim"
],
"categories": [
"quant-ph"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Contextuality Derived from Minimal Decision Dynamics: Quantum Tug-of-War Decision Making",
"url": "https://arxiv.org/abs/2601.10034",
"version": "v1"
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