Riemannian Geometry of Quantum Computation

被引：0

作者：

Brandt, Howard E. ^{[1
]}

机构：

[1] USA, Res Lab, Adelphi, MD 20783 USA

来源：

QUANTUM INFORMATION SCIENCE AND ITS CONTRIBUTIONS TO MATHEMATICS | 2010年 / 68卷

关键词：

quantum computing; quantum circuits; quantum complexity; differential geometry; Riemannian geometry; geodesics; Lax equation; Jacobi fields;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页码：61 / 101

页数：41