Jacobi fields in the Riemannian geometry of quantum computation

被引：1

作者：

Brandt, Howard E. ^{[1
]}

机构：

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

来源：

QUANTUM INFORMATION AND COMPUTATION VIII | 2010年 / 7702卷

关键词：

Riemannian geometry; geodesics; Jacobi fields;

D O I：

10.1117/12.849648

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In the Riemannian geometry of quantum computation, the quantum evolution is described in terms of the special unitary group of n-qubit unitary operators with unit determinat. To elaborate on some aspects of the methodology, the generic Jacobi equation and lifted Jacobi equation, together with solutions on the group manifold, are explicitly derived. This is important for investigations of the global characteristics of geodesic paths in the group manifold, and the determination of optimal quantum circuits for carrying out a quantum computation.

引用

页数：8