We prepare and investigate a new kind of qubit, the Andreev qubit, which is based on a hybrid semiconductor and superconductor heterostructure. The Andreev qubit combines the advantages of superconducting and spin qubits. The quantum information is stored by the spin embedded in a macroscopic superconducting condensate. This structure is expected to lead to longer coherence times and stronger qubit-qubit coupling with longer range. The other objective of our research is the development of topological superconducting architectures where the theoretical expectations suggest substantially longer coherence times of the qubits. In order to realise qubits, electronic circuits based on two- and one-dimensional semiconductor and van der Waals heterostructures with large spin-orbit coupling will be fabricated. These circuits will be explored with dc and microwave techniques in order to develop quantum information processing steps. All these solid-state based quantum computing architectures will be studied by modern theoretical methods.