Four-Qubit Cluster States Generation through Multi-Coin Quantum Walk

Quantum computing requires large numbers of resources entangled qubits, which cannot be satisfied using traditional methods entanglement generation, such as optical systems. Therefore, we need more efficient ways generation. It has been proved that multi-coin quantum walks can used to replace direct Bell state measurements during the process generation in order avoid difficulty measurement. In this paper, take one step further and generate 4-qubit cluster states walks, simplifies by only local measurements. We also propose a method for preparing with circuits facilitate their use computing.