Complementarity and quantum walks

被引：55

作者：

Kendon, V ^{[1
]}

Sanders, BC

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Blackett Lab, Opt Sect, QOLS, London SW7 2BW, England

[2] Univ Leeds, Sch Phys & Astron, Leeds LS2 9JT, W Yorkshire, England

[3] Univ Calgary, Inst Quantum Informat Sci, Calgary, AB T2N 1N4, Canada

[4] Macquarie Univ, Ctr Quantum Comp Technol, Sydney, NSW 2109, Australia

来源：

PHYSICAL REVIEW A | 2005年 / 71卷 / 02期

关键词：

D O I：

10.1103/PhysRevA.71.022307

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We show that quantum walks interpolate between a coherent "wave walk" and a random walk depending on how strongly the walker's coin state is measured; i.e., the quantum walk exhibits the quintessentially quantum property of complementarity, which is manifested as a tradeoff between knowledge of which path the walker takes vs the sharpness of the interference pattern. A physical implementation of a quantum walk (the quantum quincunx) should thus have an identifiable walker and the capacity to demonstrate the interpolation between wave walk and random walk depending on the strength of measurement.

引用

页数：7

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