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001020481 001__ 1020481
001020481 005__ 20251105054627.0
001020481 0247_ $$2datacite_doi$$a10.18154/RWTH-2025-09031
001020481 037__ $$aRWTH-2025-09031
001020481 041__ $$aEnglish
001020481 082__ $$a004
001020481 1001_ $$0P:(DE-82)1020781$$aKierner, Kaleb$$b0$$urwth
001020481 245__ $$aModeling non-deterministic quantum programs for model checking$$cKaleb Kierner$$honline
001020481 260__ $$aAachen$$bRWTH Aachen University$$c2025
001020481 300__ $$a1 Online-Ressource : Illustrationen
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001020481 3367_ $$0PUB:(DE-HGF)2$$2PUB:(DE-HGF)$$aBachelor Thesis$$bbachelor$$mbachelor
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001020481 500__ $$aVeröffentlicht auf dem Publikationsserver der RWTH Aachen University
001020481 502__ $$aBachelorarbeit, RWTH Aachen University, 2025$$bBachelorarbeit$$cRWTH Aachen University$$d2025$$gFak01$$o2025-09-22
001020481 5203_ $$lger
001020481 520__ $$aQuantum programming introduces both probabilistic and non-deterministic behavior, making formal verification a challenging task. This work develops a framework for modeling non-deterministic quantum programs using Markov Decision Processes (MDPs). Each program configuration is represented as a combination of the remaining program and its quantum state, while transitions capture both quantum evolution and non-deterministic branching. We define operational semantics for quantum programs in terms of MDPs and prove their equivalence to established denotational semantics. This equivalence ensures consistency between high-level mathematical descriptions and executable models. The approach enables the application of model-checking techniques, originally designed for classical probabilistic systems, to quantum programs. Our results show that MDPs provide a foundation for verifying properties of non-deterministic quantum programs.$$leng
001020481 591__ $$aGermany
001020481 7001_ $$0P:(DE-82)IDM00048$$aKatoen, Joost-Pieter$$b1$$eThesis advisor$$urwth
001020481 7001_ $$0P:(DE-82)IDM06461$$aUnruh, Dominique$$b2$$eThesis advisor$$urwth
001020481 7001_ $$0P:(DE-82)IDM05193$$aGehnen, Christina$$b3$$eConsultant$$urwth
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001020481 9141_ $$y2025
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001020481 961__ $$c2025-11-04T10:23:21.610114$$x2025-10-28T15:02:30.042473$$z2025-11-04T10:23:21.610114
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