Riemannian geometry of quantum computation

被引：8

作者：

Brandt, Howard E. ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期

关键词：

Quantum computing; Quantum circuits; Quantum complexity; Differential geometry; Riemannian geometry; Geodesics;

D O I：

10.1016/j.na.2008.11.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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(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 and the geodesic equation for minimal complexity quantum computations. Published by Elsevier Ltd

引用

页码：E474 / E486

页数：13

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