In this thesis the author develops for the first time an implementation methodology for
arbitrary Gaussian operations using temporal-mode cluster states. The author also presents
three experiments involving continuous-variable one-way quantum computations where their
non-classical nature is shown by observing entanglement at the outputs. The experimental basic
structure of one-way quantum computation over two-mode input state is demonstrated by the
controlled-Z gate and the optimum nonlocal gate experiments. Furthermore the author proves
that the operation can be controlled by the gain-tunable entangling gate experiment.