Aspects of quantum computational geodesics
Howard E. Brandt · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2009
The object of this paper is to mathematically investigate characteristics of a geodesic equation describing possible minimum complexity paths in the special unitary group manifold representing the unitary evolution of n qubits associated with a quantum computation. Simple solutions are elaborated for the case of three qubits.