Riemannian curvature in the differential geometry of quantum computation

In recent developments in the differential geometry of quantum computation, the quantum evolution is described in terms of the special unitary group SU(2n) of n-qubit unitary operators with unit determinant. To elaborate on one aspect of the methodology, the Riemann curvature and sectional curvature are explicitly derived using the Lie algebra su(2n). This is germane to investigations of the global characteristics of geodesic paths and minimal complexity quantum circuits.