Abstract
The tensor-network representation, which is a popular tool in condensed matter physics, enables efficient descriptions of quantum many-body states in an exponentially-large Hilbert space. If a resource many-body state of the measurement-based quantum computation is represented in the tensor-network form, we can obtain a clear view of what is going on in the measurement-based quantum computation [1,2]. This new framework of the measurement-based quantum computation has enabled the systematic exploration of new resource states beyond the cluster state [1].