Efficient and tunable qubit unidirectional routers and spin-wave diodes play an important role in both classical and quantum information processing domains. Here, we reveal that multi-level neutral cold atoms can mediate both dissipative and coherent couplings. Interestingly, we investigate and practically implement this paradigm in experiments, successfully synthesizing a system with dual functionality as both a photonic qubit unidirectional router and a spin-wave diode. By manipulating the helicity of the field, we can effectively balance the coherence coupling and dissipative channel, thereby ensuring the unidirectional transfer of photonic qubits. The qubit fidelity exceeds $97.49\pm 0.39\%$, and the isolation ratio achieves $16.8\pm 0.11$ dB while the insertion loss is lower than 0.36 dB. Furthermore, we show that the spin-wave diode can effectively achieve unidirectional information transfer by appropriately setting the coherent coupling parameters. Our work not only provides new ideas for the design of extensive components in quantum network, but also opens up new possibilities for non-Hermitian quantum physics, complex quantum networks, and unidirectional quantum information transfer.