0640698 20260218131412.920251031235959.9 10.5281/zenodo.15854639 1 s. E cav_un_epca*064623915-15PragueCzech University of Life Sciences Prague2025GuyTatiana ValentinePelikánMartinKárnýMiroslavGajAleksejRužejnikovJurijRumanMarko quantum mechanics quantum model expressing non-physical properties via quantum model models of living matter cav_un_auth*0469824 Gaj Aleksej UTIA-B Adaptivní systémy Department of Adaptive Systems AS AS CZ 50 Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0101124 Kárný Miroslav UTIA-B Adaptivní systémy Department of Adaptive Systems AS AS 50 Ústav teorie informace a automatizace AV ČR, v. v. i. https://zenodo.org/records/16900460 CA21169 EC cav_un_auth*0452289 Quantum mechanics (QM) provides a formal framework for modelling uncertainty and dynamic evolution in physical systems. While its mathematical structure is well established, its application beyond microscopic phenomena remains an area of active discussion. This work attempts to illustrate the axioms of QM in an intuitive and accessible way on a textbook example. The example is constructed to make an easy parallel with decision-making tasks. The model considers a rat moving in a finite number of rooms within a box, where some rooms are directly connected, while others are not. The rat’s state is represented as a vector in a finite-dimensional Hilbert space, evolving unitarily over time. Measurement corresponds to observing the rat’s presence in a given room, collapsing the state with a probability dictated by the Born rule. Additionally, the rat’s preferences influence the system’s dynamics, introducing a simple analogy to decoherence or external perturbations. Such seemingly trivial example opens a variety of questions concerning interpretation of the whole task and understanding the model behind. This model does not offer new contributions to QM theory but serves as a conceptual bridge, demonstrating its fundamental principles in a setting that includes a living organism. The approach may be useful in educational contexts or as a stepping stone for exploring quantum-inspired models in decision-making and behaviour modelling of living matter. A Jupyter notebook implementation accompanies the theoretical formulation, providing an interactive tool for visualization and exploration. The work also discusses links to contemporary interpretations of QM. cav_un_auth*0491465 DYNALIFE 2025 : Conference on QUANTUM INFORMATION AND DECISION MAKING IN LIFE SCIENCES 20250428 20250429 Prague CZ BB 10000 10100 10101 2026 2 PO RVO:67985556 https://hdl.handle.net/11104/0371112 cav_un_auth*0322033 Česká zemědělská univerzita v Praze, Provozně ekonomická fakulta PEF ČZU CZ S 2025 A2 SCOPUS PUBMED WOS cav_un_epca*0646239 DYNALIFE 2025 : Quantum Information and Decision Making in Life Sciences: Book of Abstracts Czech University of Life Sciences Prague 2025 Prague 15 15 Guy Tatiana Valentine 340 Pelikán Martin 340 Kárný Miroslav 340 Gaj Aleksej 340 Ružejnikov Jurij 340 Ruman Marko 340