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

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arxiv quant-ph/0512204 v2 pith:LOVZWD6M submitted 2005-12-22 quant-ph

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

classification quant-ph
keywords quantumdistributionlocalizationprobabilitysawtoothconsistentensembleerrors
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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