SAMOP 2021 – scientific programme

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QI: Fachverband Quanteninformation

QI 13: Quantum Information and Foundations II

QI 13.7: Talk

Friday, September 24, 2021, 12:15–12:30, H4

Operational Theories in Phase Space: Toy Model for the Harmonic Oscillator — •Martin Plávala and Matthias Kleinmann — Naturwissenschaftlich-Technische Fakultät, Universität Siegen, 57068 Siegen, Germany

We construct a toy model for the harmonic oscillator that is neither classical nor quantum. The model features a discrete energy spectrum, a ground state with sharp position and momentum, an eigenstate with non-positive Wigner function as well as a state that has tunneling properties. The underlying formalism exploits that the Wigner--Weyl approach to quantum theory and the Hamilton formalism in classical theory can be formulated in the same operational language, which we then use to construct toy model with well-defined phase space. The toy model demonstrates that operational theories are a viable alternative to operator-based approaches for building physical theories.