SAMOP 2021 – scientific programme

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QI: Fachverband Quanteninformation

QI 13: Quantum Information and Foundations II

QI 13.6: Talk

Friday, September 24, 2021, 12:00–12:15, H4

Relative entropic uncertainty relation for scalar quantum fields — Stefan Floerchinger, Tobias Haas, and •Markus Schröfl — Institut für Theoretische Physik, Universität Heidelberg, Heidelberg, Germany

Entropic uncertainty is a well-known concept to formulate uncertainty relations for continuous variable quantum systems with finitely many degrees of freedom. Typically, the bounds of such relations scale with the number of oscillator modes, preventing a straight-forward generalization to quantum field theories. In this work, we overcome this difficulty by introducing the notion of a functional relative entropy and show that it has a meaningful field theory limit. We present the first entropic uncertainty relation for a scalar quantum field theory and exemplify its behavior by considering few particle excitations.