Robert Ivan Booth

I am interested in mathematical frameworks for quantum computation in atypical Hilbert spaces such as those which arise as spaces of functions over groups. I study gate models as well as MBQC protocols for (some of) these spaces and the algebraic problems that arise therein. I also have a soft spot for categorical methods in quantum mechanics and would like to see if graphical languages similar to the ZX-calculus can be defined in some of these spaces. My current work focuses on continuous variables quantum computation as a base case for these kinds of constructions.