Study of localization in the quantum sawtooth map emulated on a quantum information processor
Abstract
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.
Cite
@article{arxiv.quant-ph/0512204,
title = {Study of localization in the quantum sawtooth map emulated on a quantum information processor},
author = {Michael K. Henry and Joseph Emerson and Rudy Martinez and David G. Cory},
journal= {arXiv preprint arXiv:quant-ph/0512204},
year = {2009}
}
Comments
20 pages, 9 figures