Ukai, RyujiIwata, NoriakiShimokawa, YujiArmstrong, SeijiPoliti, AlbertoYoshikawa, Jun-ichivan Loock, PeterFurusawa, Akira2015-12-102015-12-100031-9007http://hdl.handle.net/1885/55724One-way quantum computation is a very promising candidate to fulfill the capabilities of quantum information processing. Here we demonstrate an important set of unitary operations for continuous variables using a linear cluster state of four entangled optical modes. These operations are performed in a fully measurement-controlled and completely unconditional fashion. We implement three different levels of squeezing operations and a Fourier transformation, all of which are accessible by selecting the correct quadrature measurement angles of the homodyne detections. Though not sufficient, these linear transformations are necessary for universal quantum computation.Keywords: Cluster state; Continuous variables; Homodyne detection; Of quantum-information; One-way quantum computation; Optical modes; Quadrature measurements; Unitary operation; Data processing; Fourier analysis; Fourier transforms; Linear transformations; Quantum201110.1103/PhysRevLett.106.2405042016-02-24