  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.
