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An ultrafast qubit control concept is proposed to reduce the duration ofoperations with a single and multiple superconducting qubits. It is based onthe generation of Ramsey fringes due to unipolar picosecond control pulses. Thekey role in the concept is played by the interference of waves of qubit statespopulation propagating forward and backward in time. The influence of the shapeand duration of control pulses on the contrast of the interference pattern isrevealed in the frame of Ramsey's paradigm. Protocols for observation of Ramseyoscillations and implementation of various gate operations are developed. Wealso suggest a notional engineering solution for creating the requiredpicosecond control pulses with desired shape and amplitude. It is demonstratedthat this makes it possible to control the quantum states of the system withthe fidelity of more than 99%.

Picosecond operations on superconducting quantum register based on Ramsey patterns