Hannover 2020 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 22: Posters: Quantum Optics and Photonics II

Q 22.35: Poster

Tuesday, March 10, 2020, 16:30–18:30, Empore Lichthof

Sections of generalized probabilistic theories — •Jonathan Steinberg and Matthias Kleinmann — University of Siegen, Germany

Generalized probabilistic theories (GPTs) allow us to write quantum theory in a purely operational language and enable us to formulate other, vastly different theories. Sections of GPTs can serve as a description of subsystems [1] and in general provide relations between GPTs. We investigate the structure and properties of sections of GPTs and give a complete characterization of low dimensional sections of arbitrary quantum systems. As an application we study Spekkens toy model [2] as a section. In addition, we combine the notion of sections with the dynamics in a GPT and consider the implications for quantum theory.
[1] M. Kleinmann et al., Phys. Rev. Lett. 110, 040403 (2013)
[2] R. Spekkens, Phys. Rev. A 75, 032110 (2007)