Apparatus and methods of performing fast single-qubit quantum gates using ultrafast femtosecond frequency chirped laser pulses are disclosed. The use of chirped pulses removes the demanding restrictions of prior art approaches and allows for the construction of fast quantum gates that operate at speeds on the of order several picoseconds. The apparatus includes two synchronized lasers (pump and Stokes) used to manipulate a qubit wave function in a select manner. Each laser system generates a train of optical pulses. Pulse pickers choose pump and Stokes pulses, which propagate though respective pulse shapers that apply necessary time-dependent phases. To achieve complete overlap between the pulses in time domain, necessary adjustments can be made by using an additional time delay line, which can be located in any path or in both paths.