IMPLEMENTING NET COHERENT ROTATIONS DURING DYNAMICAL DECOUPLING

Methods, systems and apparatus for dynamically decoupling and performing a target unitary operation to a qubit. In one aspect, a method includes generating a control signal that implements a dynamical decoupling control sequence and applying the control signal to the qubit to dynamically decouple the qubit and perform the target unitary operation on the qubit. The target unitary operation includes a product of multiple sub-unitary operations. The dynamical decoupling control sequence includes a plurality of single qubit gates, where one or more of the single qubit gates comprise a single qubit gate that implements one or more of sub-unitary operations of the multiple sub-unitary operations.