Abstract
In summary, we have demonstrated three one-way quantum computation protocols over two-mode input states: a unity-gain controlled-\(Z\) gate, an optimum nonlocal controlled-\(Z\) gate, and a gain-tunable entangling gate for optical continuous variables. The genuine quantum character of these gates was verified through the existence of entanglement at the output modes. By combining the two-mode gate experiments in this thesis with the one-mode gate experiments [1], we now have all the tools required to implement an arbitrary multi-mode Gaussian operation in a framework of one-way quantum computation. The only missing element for universal one-way quantum computation is a non-Gaussian operation. We have also discussed temporal-mode cluster states. We showed that quantum computation using a temporal-mode cluster state for one-mode operations is equivalent to a repetition of quantum teleportations. We then proposed how one-mode Gaussian operations can be implemented by using temporal-mode cluster states. The vast unprecedented potential of the ultra-large-scale entangled states will likely inspire more sophisticated quantum computation algorithms.
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Ukai, R. (2015). Summary. In: Multi-Step Multi-Input One-Way Quantum Information Processing with Spatial and Temporal Modes of Light. Springer Theses. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55019-8_11
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DOI: https://doi.org/10.1007/978-4-431-55019-8_11
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