Study of localization in the quantum sawtooth map emulated on a quantum information processor

摘要

Quantum computers will be unique tools for understanding complex quantumsystems. We report an experimental implementation of a sensitive, quantumcoherence-dependent localization phenomenon on a quantum information processor(QIP). The localization effect was studied by emulating the dynamics of thequantum sawtooth map in the perturbative regime on a three-qubit QIP. Ourresults show that the width of the probability distribution in momentum spaceremained essentially unchanged with successive iterations of the sawtooth map,a result that is consistent with localization. The height of the peak relativeto the baseline of the probability distribution did change, a result that isconsistent with our QIP being an ensemble of quantum systems with adistribution of errors over the ensemble. We further show that the previouslymeasured distributions of control errors correctly account for the observedchanges in the probability distribution.