Quantum 2025 – wissenschaftliches Programm
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MON: Monday Contributed Sessions
MON 23: Poster Session: Fundamental Aspects and Model Systems
MON 23.10: Poster
Montag, 8. September 2025, 18:30–20:30, ZHG Foyer 1. OG
Factorization of multimeters: a unified view on nonclassical quantum phenomena — •Tim Achenbach1,2, Andreas Bluhm3, Leevi Leppäjärvi2, Ion Nechita4, and Martin Plávala5 — 1Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, 57068 Siegen, Germany — 2Faculty of Information Technology, University of Jyväskylä, 40100 Jyväskylä, Finland — 3Univ. Grenoble Alpes, CNRS, Grenoble INP, LIG, 38000 Grenoble, France — 4Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS, France — 5Institut für Theoretische Physik, Leibniz Universität Hannover, Hannover, Germany
Quantum theory exhibits various nonclassical features, such as measurement incompatibility, contextuality, steering, and Bell nonlocality, which distinguish it from classical physics. These phenomena are often studied separately, but they possess deep interconnections. This work introduces a unified mathematical framework based on commuting diagrams that unifies them. By representing collections of measurements (multimeters) as maps to the set of column-stochastic matrices, we show that measurement compatibility and simulability correspond to specific factorizations of these maps through intermediate systems. We apply this framework to put forward connections between different nonclassical notions and provide factorization-based characterizations for steering assemblages and Bell correlations, including a perspective on the CHSH inequality witnessing measurement incompatibility.
Keywords: nonlocality; incompatibility; Bell inequality; steering; measurement