We investigate the topological structure of entangled qudits under unitary local operations. Different sectors are identified in the evolution, and their geometrical and topological aspects are analyzed. The geometric phase is explicitly calculated in terms of the concurrence. As a main result, we predict a fractional topological phase for cyclic evolutions in the multiply connected space of maximally entangled states.
@article{arxiv.1010.2094,
title = {Fractional topological phase for entangled qudits},
author = {L. E. Oxman and A. Z. Khoury},
journal= {arXiv preprint arXiv:1010.2094},
year = {2015}
}