  In the measurement-based quantum computing, there is a natural "causal cone"
among qubits of the resource state, since the measurement angle on a qubit has
to depend on previous measurement results in order to correct the effect of
byproduct operators. If we respect the no-signaling principle, byproduct
operators cannot be avoided. In this paper, we study the possibility of acausal
measurement-based quantum computing by using the process matrix framework [O.
Oreshkov, F. Costa, and C. Brukner, Nature Communications {\bf3}, 1092 (2012)].
We construct a resource process matrix for acausal measurement-based quantum
computing. The resource process matrix is an analog of the resource state of
the causal measurement-based quantum computing. We find that the resource
process matrix is (up to a normalization factor and trivial ancilla qubits)
equivalent to the decorated graph state created from the graph state of the
corresponding causal measurement-based quantum computing.
