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In spin based quantum dot arrays, material or fabrication imprecisions affectthe behaviour of the device, which must be taken into account when controllingit. This requires measuring the shape of specific convex polytopes. In thiswork, we present an algorithm that automatically discovers count, shape andsize of the facets of a convex polytope from measurements. Results on simulateddevices as well as a real 2x2 spin qubit array show that we can reliably findthe facets of the convex polytopes, including small facets with sizes on theorder of the measurement precision.

Estimation of Convex Polytopes for Automatic Discovery of Charge State Transitions in Quantum Dot Arrays