0645968 20260304131603.620260212235959.9 1 s. P cav_un_epca*064596733-33VäxjöLinnaeus University2025 Decision making Quantum mechanic Uncertainty Probabilistic logic Hilbert space cav_un_auth*0469824 Gaj Aleksej UTIA-B Adaptivní systémy Department of Adaptive Systems AS AS CZ K 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 Department of Adaptive Systems Ústav teorie informace a automatizace AV ČR, v. v. i. https://library.utia.cas.cz/separaty/2026/AS/gaj-0645968.pdf CA21169 EU-COST XE cav_un_auth*0452289 101168272 EC XE cav_un_auth*0503584 SGS25/167/OHK4/3T/14 GA ČVUT CZ cav_un_auth*0503585 Quantum mechanics (QM) offers a rigorous framework for modelling uncertainty and dynamic evolution in physical systems. While its mathematical structure is well established, its application beyond microscopic phenomena remains a subject of debate. This work presents a simple and intuitive example to illustrate QM’s axioms through a decision-making analogy. We model a rat moving in a finite number of rooms, 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. Its evolution follows unitary dynamics and measurement corresponds to observing the rat in a given room, collapsing the state with a probability dictated by the Born rule. The rat’s preferences influence transitions, introducing a simple analogy to decoherence or external perturbations. Though the model does not advance QM theory, it serves as a conceptual bridge, applying fundamental principles to a scenario involving a living agent. Both the rat and the observer are simulated using identical Hamiltonians, each evolving from the same initial state. By including or excluding wavefunction collapse, several interpretative scenarios emerge—framing a discussion on subjective versus objective probability. cav_un_auth*0503583 Quantum Information and Probability: from Foundations to Engineering 2025 (QIP25) 20250610 20250613 Linnaeus University, Växjö SE BD 10000 10100 10102 2026 2 PO RVO:67985556 https://hdl.handle.net/11104/0375853 1 cav_un_auth*0352425 Fakulta jaderná a fyzikálně inženýrská, ČVUT FJFI ČVUT CZ S 2025 SCOPUS PUBMED WOS cav_un_epca*0645967 Quantum Information and Probability: from Foundations to Engineering (QIP25) Book of Abstracts Linnaeus University 2025 Växjö 33 33