Compose a Python script for Multiplane Light Conversion (MPLC), integrating a Haar matrix unitary transformation into the device. Execute experiments pertinent to fields such as quantum machine learning and Gaussian boson sampling.
Conduct a thorough literature review focusing on multiplane light conversion and Laguerre-Gaussian mode sorting techniques, including an in-depth analysis of relevant published papers addressing incorporating unitary operations into these devices.
Prepares or assists in the preparation of reports and other publications, as well as presentations of research results at technical meetings, program reviews and conferences.