27 April 2009 Riemann curvature in quantum computational geometry
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Abstract
In the Riemannian 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 important for investigations of the global characteristics of geodesic paths in the group manifold.
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Howard E. Brandt, Howard E. Brandt, "Riemann curvature in quantum computational geometry", Proc. SPIE 7342, Quantum Information and Computation VII, 734208 (27 April 2009); doi: 10.1117/12.820876; https://doi.org/10.1117/12.820876
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