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math.OC2026
Finite de Finetti for convex bodies and Polynomial Optimization
Julius A. Zeiss, Gereon Koßmann, René Schwonnek +1
Leveraging a recently proposed notion of relative entropy in general probabilistic theories (GPT), we prove a finite de Finetti representation theorem for general convex bodies. We…
quant-ph2026
A Collection of Pinsker-type Inequalities for Quantum Divergences
Kläre Wienecke, Gereon Koßmann, René Schwonnek
Pinsker's inequality sets a lower bound on the Umegaki divergence of two quantum states in terms of their trace distance. In this work, we formulate corresponding estimates for a v…