  We investigate the minimal Kitaev spin liquid on a single hexagon with three
Ising-type exchange interactions proportional to $K_{x}$, $K_{y}$ and $K_{z}$.
In the limit $K_{z}=0$, we find 32-fold zero-energy states, leading to 10 free
Majorana fermions, and hence, 5 qubits are constructed. These qubits are
protected by particle-hole symmetry even for $K_{z}\neq 0$. Braiding of these
Majorana fermions is possible by temporally controlling a spin-correlation
Hamiltonian. In addition, the fusion is possible by measuring the spin
correlation. By switching on the Heisenberg interaction together with magnetic
field, only one zero-energy state persists, which can be used as an
initialization of qubits. Furthermore, it is shown that $3L+2$ qubits are
constructed on the Kitaev spin liquid model on connected $L$ hexagons. All the
processes of initialization, operation and readout of qubits are executable in
terms of spin operators.
