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In quantum computation, information is processed by gates that mustcoherently couple separate qubits. In many systems the qubits are naturallycoupled, but such an always-on interaction limits the algorithms that may beimplemented. Coupling interactions may also be directed in devices and circuitsthat are provided with additional control wiring. This can be achieved byadjusting the gate voltage in a semiconductor device or an additional flux in asuperconducting device. Such control signals must be applied adiabatically(limiting the speed) and the additional wiring provides pathways for noise,which leads to decoherence. Here we demonstrate an alternative approach tocoupling by exploiting the nonlinear behaviour of a degenerately doped silicontransistor. A single transistor can exhibit a large number of individualresonances, which are seen as changes in the source-drain current of adc-biased device. These resonances may be addressed in frequency space due totheir high quality factors. Two widely separated resonances are addressed andcoupled in three-frequency spectroscopy by ensuring that the third frequencycorresponds to the difference between the two individual resonances. Thenonlinearity causes the generation of additional driving signals withappropriate frequency and phase relationships to ensure coupling, resulting inadditional spectroscopic features that could be exploited for rapid statemanipulation and gate operations.

Microwave driven arbitrary coupling between trapped charge resonances in a silicon single electron transistor