  Multipartite entanglement is of important resources for quantum communication
and quantum computation. Our goal in this paper is to characterize general
multipartite entangled states according to shallow quantum circuits. We firstly
prove any genuinely multipartite entanglement on finite-dimensional spaces can
be generated by using 2-layer shallow quantum circuit consisting of two
biseparable quantum channels, which the smallest nontrivial circuit depth in
the shallow quantum circuit model. We further propose a semi-device-independent
entanglement model depending on the local connection ability in the second
layer of quantum circuits. This implies a complete hierarchy of distinguishing
genuinely multipartite entangled states. It shows a completely different
multipartite nonlocality from the quantum network entanglement. These results
show new insights for the multipartite entanglement, quantum network, and
measurement-based quantum computation.
