Greylyn, Seth E. M.2014-08-222014-08-222014-08-22http://hdl.handle.net/10222/54000We give a presentation by generators and relations of the group U₄(ℤ[1/√2, i]) of unitary 4×4 matrices with entries in the ring ℤ[1/√2, i]. This is motivated by the problem of exact synthesis for the Clifford+T gate set in quantum computation.enquantum computing, synthesis of quantum circuits, circuit simplification, Clifford+T circuits, generators and relations, unitary group