Quantum entanglement is one of the most important resources in quantum information. In recent years, the research of quantum entanglement mainly focused on the increase in the number of entangled qubits or the high-dimensional entanglement of two particles. Compared with qubit states, multipartite high-dimensional entangled states have beneficial properties and are powerful for constructing quantum networks. However, there are few studies on multipartite high-dimensional quantum entanglement due to the difficulty of creating such states. In this paper, we experimentally prepared a multipartite high-dimensional state \(\left|{\Psi }_{442}\right\rangle =\frac{1}{2}(\left|000\right\rangle +\left|110\right\rangle +\left|221\right\rangle +\left|331\right\rangle )\) by using the path mode of photons. We obtain the fidelity F = 0.854 ± 0.007 of the quantum state, which proves a real multipartite high-dimensional entangled state. Finally, we use this quantum state to demonstrate a layered quantum network in principle. Our work highlights another route toward complex quantum networks.

量子纠缠是量子信息中最重要的资源之一。近年来，量子纠缠的研究主要集中在纠缠量子位数量的增加或两个粒子的高维纠缠。与量子位态相比，多部分高维纠缠态具有有益的性质，对构造量子网络具有强大的作用。但是，由于难以建立多态高能量子纠缠，因此很少有研究。在本文中，我们通过实验准备了多部分高维状态\（\ left | {\ Psi} _ {442} \ right \ rangle = \ frac {1} {2}（\ left | 000 \ right \ rangle + \ left | 110 \ right \ rangle + \ left | 221 \ right \ rangle + \ left | 331 \ right \ rangle）\）通过使用光子的路径模式。我们获得了 量子态的保真度F = 0.854±0.007，证明了真实的多部分高维纠缠态。最后，我们使用该量子态从原理上证明了分层量子网络。我们的工作强调了通向复杂量子网络的另一条途径。