Differential geometry of quantum computing
Howard E. Brandt · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2008
An expository review is given of recent developments in the differential geometry of quantum computation. Descriptions are given of the appropriate Riemannian geometry of the special unitary unimodular group in 2n- dimensions, including the choice of metric, connection, curvature tensor, and optimal geodesics for achieving minimal complexity quantum computations.