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. Dr. Ukai Ryuji Department of Applied Physics, University of Tokyo ukai@alice.t.u-tokyo.ac.jp Introduction.- Quantum Optics.- Quantum States and Quantum State Manipulations.- Offline Scheme And One-Way Quantum Computation.- Cluster States And One-Way Quantum Computation.- Experimental Generation of Optical Continuous-Variable Cluster States.- Experimental Demonstration of Controlled-Z Gate for Continuous Variables.- Experimental Demonstration of Optimum Nonlocal Gate for Continuous Variables.- Experimental Demonstration of Gain-Tunable Entangling Gate for Continuous Variables.- Temporal-Mode Cluster States.- Summary.

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Multi-Step Multi-Input One-Way Quantum Information Processing with Spatial and Temporal Modes of Light (Springer Theses)
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