Dresden 2026 – scientific programme

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QI: Fachverband Quanteninformation

QI 12: Quantum Foundations

QI 12.4: Talk

Wednesday, March 11, 2026, 15:45–16:00, BEY/0137

Generalised Quantum Dynamics under Operational Constraints — •Joel Huber and Matthias Kleinmann — Universität Siegen

Generalised phase space theories can be considered to study potential deviations from quantum time evolution given by the Schrödinger equation. In the phase space formulation, quantum dynamics is governed by the Moyal bracket. We consider generalisations thereof and impose operational conditions -- such as probability positivity -- to characterise consistent dynamics. We show how (generalised) quantum dynamics impacts the momentum and position distributions in the presence of a cubic potential, and argue that this effect is experimentally accessible. The consistency of a proposed evolution depends critically on both the bracket structure and the underlying state space. We analyse scenarios where the state space contains Gaussian states or the first excited state of the harmonic oscillator. In the case of ideal preparation of these states, phase space dynamics is strongly constrained and quantum dynamics is found to be the only consistent time-reversible evolution, at least to the order that can be probed in a cubic potential.

Keywords: Quantum dynamics; Phase space; Moyal bracket; Wigner function; Generalised probabilistic theories