  Hamiltonian engineering is an important approach for quantum information
processing, when appropriate materials do not exist in nature or are unstable.
So far there is no stable material for the Kitaev spin Hamiltonian with
anisotropic interactions on a honeycomb lattice (A. Kitaev, Annals of Physics
vol 321, 2 (2006)), which plays a crucial role in the realization of both
Abelian and non-Abelian anyons. Here, we show how to dynamically realize the
Kitaev spin Hamiltonian from the conventional Heisenberg spin Hamiltonian using
a pulse-control technique. By repeating the same pulse sequence, the quantum
state is dynamically preserved. The effects of the spin-orbit interaction and
the hyperfine interaction are also investigated.

Quantum Physics;Strongly Correlated Electrons