Abstract
In recent developments in the differential geometry of quantum computation, the quantum evolution is described in terms of the special unitary group SU ( 2 n ) 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 ( 2 n ) . This is germane to investigations of the global characteristics of geodesic paths and minimal complexity quantum circuits.
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