The ground state of the Kitaev quantum spin liquid on a honeycomb lattice is an intriguing many-body state characterized by its topological order and massive entanglement. One of the significant issues is to prepare and manipulate the ground state as well as excited states in a quantum simulator. Here, we provide a protocol to manipulate the Kitaev quantum spin liquid via digital quantum simulation. A series of unitary gates for the protocol is explicitly constructed, showing its circuit depth is an order of $O\left(N\right)$ with the number of qubits, $N$. We demonstrate the efficiency of our protocol on the IBM Heron r2 processor for $N=8$ and 12. We further validate our theoretical framework through numerical simulations, confirming high-fidelity quantum state control for system sizes up to $N=450$, and discuss the possible implications of these results.

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• Majorana fermions
• Quantum simulation
• Quantum spin liquid
• Topological order