Entanglement distribution based on quantum walk in arbitrary quantum networks (2407.04338v1)

Abstract: In large-scale quantum networks, distributing the multi-particle entangled state among selected nodes is crucial for realizing long-distance and complicated quantum communication. Quantum repeaters provides an efficient method to generate entanglement between distant nodes. However, it is difficult to extend quantum repeater protocols to high-dimensional quantum states in existing experiments. Here we develop a series of scheme for generating high-dimensional entangled states via quantum walks with multiple coins or single coin by quantum repeaters, including $d$-dimensional Bell states, multi-particle high dimensional GHZ states etc.. Furthermore, we give entanglement distribution schemes on arbitrary quantum networks according to the above theoretical framework. As applications, we construct quantum fractal networks and multiparty quantum secret sharing protocols based on $d$-dimensional GHZ states. In the end, we give the experiment implementing of various 2-party or 3-party entanglement generation schemes based on repeaters. Our work can serve as a building block for constructing larger and more complex quantum networks.