  We introduce a constructive procedure that maps all spatial correlations of a
broad class of states into temporal correlations between general quantum
measurements. This allows us to present temporal phenomena analogous to
genuinely multipartite nonlocal phenomena, such as Greenberger-Horne-Zeilinger
correlations, which do not exist if only projective measurements on qubits are
considered. The map is applied to certain lattice systems in order to replace
one spatial dimension with a temporal one, without affecting measured
correlations. We use this map to show how repeated application of a
1d-cluster-gate leads to universal one-way quantum computing when supplemented
with the general measurements.
