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Commonly used classical cryptographic protocols, such as the RSA-protocol, rely on the hardness of computational problems. With the advent of quantum computing (QC), the hardness assumptions of these problems is nullified, since they can be solved efficiently on a QC. On the other hand, the security of Quantum key distribution (QKD) rests upon the very laws of physics and guarantees information-theoretic security, which not only enables tap-proof communication at present, but also prevents any future technology to crack encrypted messages.

Quantum algorithms process information stored in qubits, the basic memory unit of quantum processors, and quantum operations (called gates) are the building blocks of quantum algorithms. In order to be run on quantum computing hardware, quantum algorithms must be compiled into a set of elementary machine instructions (i.e., quantum gates).

A major challenge in the field of control is to achieve reliable, aggressive, high-speed control of autonomous vehicles. In space, this may involve spacecraft that need to land under harsh conditions, or even – in an extreme scenario – negotiating asteroid debris fields at high speeds. On Earth, the exemplar task that draws most attention currently is high-speed autonomous flight of drones. The application of optimal control on board limited platforms has been severely hindered by the large computational requirements of current state-of-the-art implementations.