Quantum computational geodesics

被引：2
|
作者：
Brandt, Howard E. [1 ]
机构：
[1] USA, Res Lab, Adelphi, MD USA
来源：
JOURNAL OF MODERN OPTICS | 2009年 / 56卷 / 18-19期
关键词：
quantum computing; quantum circuits; quantum complexity; Riemannian geometry; quantum computational geodesics; Lax equation;
D O I：
10.1080/09500340903180517
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
The purpose of this paper is to mathematically investigate characteristics of a geodesic equation describing locally minimum complexity paths in the special unitary group manifold representing the unitary evolution of n qubits associated with a quantum computation. The geodesic equation is a nonlinear differential matrix equation of the Lax type. A simple local initial-value solution is elaborated for the case of three qubits.
引用
收藏
页码：2112 / 2117
页数：6
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