  We explore the implementation of hybridly protected quantum operations
combining the merits of holonomy, dynamical decoupling approach and
dephasing-free feature based on a simple and experimentally achievable spin
model. The implementation of the quantum operations can be achieved in
different physical systems with controllable parameters. The protected quantum
operations are hence controllable, well-suited for resolving various quantum
computation tasks, such as executing quantum error-correction codes or quantum
error mitigation. Our scheme is based on experimentally achievable Hamiltonian
with reduced requirement of computational resources and thus, it brings us
closer towards realizing protected quantum operations for resolving quantum
computation tasks in near-term quantum devices.
