  We experimentally demonstrate the transfer of an unknown single-qubit state
from Alice to Bob via a two-step discrete-time quantum random walk on a cycle
with four vertices on a four-qubit nuclear magnetic resonance quantum
processor. The qubits with Alice and Bob are used as coin qubits and the walk
is carried out on in a two-qubit `Gaming Arena'. In this scheme, the required
entangled state is generated naturally via conditional shift operators during
the quantum walk, instead of being prepared in advance. We implement controlled
operators at Bob's end, which are controlled by Alice's coin qubit and arena
qubits, in order to reconstruct Alice's randomly generated state at Bob's end.
To characterize the state transfer process, we perform quantum process
tomography by repeating the experiment for a set of input states $\{ \vert
0\rangle, \vert 1\rangle, \vert +\rangle, \vert -\rangle \}$. Using an
entanglement witness, we certify that the quantum walk generates a genuine
quadripartite entangled state of all four qubits. To evaluate the efficacy of
the transfer scheme, We use quantum state tomography to reconstruct the
transferred state by calculating the projection of the experimentally
reconstructed four-qubit density matrix onto three-qubit basis states. Our
results demonstrate that the quantum circuit is able to perform quantum state
transfer via the two-step quantum random walk with high fidelity.
