Article ID Journal Published Year Pages File Type
842286 Nonlinear Analysis: Theory, Methods & Applications 2009 13 Pages PDF
Abstract

A review is given of some recent developments in the differential geometry of quantum computation for which the quantum evolution is described by the special unitary unimodular group, SU(2n)SU(2n). Using the Lie algebra su(2n)su(2n), detailed derivations are given of a useful Riemannian geometry of SU(2n)SU(2n), including the connection and the geodesic equation for minimal complexity quantum computations.

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Physical Sciences and Engineering Engineering Engineering (General)
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