Fractional topological phase on spatially encoded photonic qudits

1-Instituto de F´isica, Universidade Federal Fluminense, 24210-346 Niter´oi - RJ, Brasil2-Departamento de F´isica, Universidade Federal de Minas Gerais, 31270-901 Belo Horizonte - MG, Brasil.(Dated: January 24, 2013)We discuss the appearance of fractional topological phases on cyclic evolutions of entangled quditsencoded on photonic degrees of freedom. We show how the spatial correlations between photonsgenerated by spontaneous parametric down conversion can be used to evidence the multiple topo-logical phases acquired by entangled qudits and the role played by the Hilbert space dimension. Arealistic experimental proposal is presented with numerical predictions of the expected results.