Simulation of the diffusion equation on a type-II quantum computer

被引：24

作者：

Berman, GP ^{[1
]}

Ezhov, AA

Kamenev, DI

Yepez, J

机构：

[1] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA

[2] Los Alamos Natl Lab, CNLS, Los Alamos, NM 87545 USA

[3] Troitsk Inst Innovat & Fus Res, Troitsk 142092, Russia

[4] USAF, Res Lab, Hanscom AFB, MA 01731 USA

来源：

PHYSICAL REVIEW A | 2002年 / 66卷 / 01期

关键词：

D O I：

10.1103/PhysRevA.66.012310

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A lattice-gas algorithm for the one-dimensional diffusion equation is realized using radio frequency pulses in a one-dimensional spin system. The model is a large array of quantum two-qubit nodes interconnected by the nearest-neighbor classical communication channels. We present a quantum protocol for implementation of the quantum collision operator and a method for initialization and reinitialization of quantum states. Numerical simulations of the quantum-classical dynamics are in good agreement with the analytic solution for the diffusion equation.

引用

页码：123101 / 123108

页数：8

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