Localization in the quantum sawtooth map emulated on a quantum-information processor

作     者：Michael K. Henry Joseph Emerson Rudy Martinez David G. Cory 

作者机构：Department of Nuclear Science and Engineering Massachusetts Institute of Technology Cambridge Massachusetts 02139 USA Perimeter Institute for Theoretical Physics Waterloo Ontario N2J 2W9 Canada Institute for Quantum Computing University of Waterloo Waterloo Ontario N2L 3G1 Canada Department of Natural Sciences New Mexico Highlands University Las Vegas New Mexico 87701 USA 

出 版 物：《Physical Review A》 (物理学评论A辑：原子、分子和光学物理学)

年 卷 期：2006年第74卷第6期

页      面：062317-062317页

核心收录：

学科分类：070207[理学-光学] 07[理学] 08[工学] 0803[工学-光学工程] 0702[理学-物理学] 

主　　题：FOURIER-TRANSFORM CHAOS NOISE 

摘      要：Quantum computers will be unique tools for understanding complex quantum systems. We report an experimental implementation of a sensitive, quantum coherence-dependent localization phenomenon on a quantum information processor (QIP). The localization effect was studied by emulating the dynamics of the quantum sawtooth map in the perturbative regime on a three-qubit QIP. Our results show that the width of the probability distribution in momentum space remained essentially unchanged with successive iterations of the sawtooth map, a result that is consistent with localization. The height of the peak relative to the baseline of the probability distribution did change, a result that is consistent with our QIP being an ensemble of quantum systems with a distribution of errors over the ensemble. We further show that the previously measured distributions of control errors correctly account for the observed changes in the probability distribution.