Programmable unitary spatial mode manipulation

This work was funded by the Centre of Excellence program of the Australian Research Council. It was supported by the Australian Research Council Discovery Project DP0985078 and the NCI National Facility at the Australian National University (ANU). We acknowledge the financial support of the Future and Emerging Technologies (FET) program within the Seventh Framework Programme for Research of the European Commission, under the FET-Open grant agreement HIDEAS, number FP7-ICT-221906.