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Video abstract for the article 'Topological quantum gate construction by iterative pseudogroup hashing ' by Michele Burrello, Giuseppe Mussardo and Xin Wan (Michele Burrello et al 2011 New J. Phys. 13 025023). Read the full article in New Journal of Physics at http://iopscience.iop.org/1367-2630/13/2/025023/fulltext/. Part of Focus on Topological Quantum Computation.