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We studied the feasibility of a novel architecture for quantum computing which uses trapped electrons as carriers of quantum information. In comparison to current state-of-the-art technologies, electrons have the potential of storing quantum information for longer times than solid-state systems and allow for reducing the technological overhead of atomic systems. In view of this, we demonstrated trapping of electrons in a 3-layer PCB Paul trap. Further, we conducted extensive theoretical, numerical and design studies on how a small electron quantum computer might look like. We find that building on the technology of generating AC-magnetic field gradients, one should be able to initialize, control and read out quantum information encoded in spin degree-of-freedom of single electrons with high precision. Further our numerical studies show that two-qubit gates with error rates of less than one error per 10,000 operations are within reach of current technology.