Convex polyhedra, i.e., the intersections of finitely many closed affine halfspaces inRd, are important objects in various areas of mathematics and other disciplines. In particular, the compact ones among them (polytopes), which equivalently can be defined as the convex hulls of finitely many points in Rd, have been studied since ancient times (e.g., the platonic solids). Polytopes appear as bu...

Artificial Intelligence (AI) often outperforms human doctors in terms of decisional speed. For some diseases, the expected benefit a fast but less accurate decision exceeds slow more one. In such cases, we argue, it is justified to rely on medical AI maximise speed – even if than doctors.

In this work we present an algorithm to perform algorithmic differentiation in the context of quantum computing. We two versions algorithm, one which is fully and employees a classical step (hybrid approach). Since implementation elementary functions already possible on computers, scheme that propose can be easily applied. Moreover, since some steps (such as CNOT operator) (or will be) faster c...