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Recent work has connected the type of fidelity decay in perturbed quantummodels to the presence of chaos in the associated classical models. Wedemonstrate that a system's rate of fidelity decay under repeated perturbationsmay be measured efficiently on a quantum information processor, and analyze theconditions under which this indicator is a reliable probe of quantum chaos andrelated statistical properties of the unperturbed system. The type and rate ofthe decay are not dependent on the eigenvalue statistics of the unperturbedsystem, but depend on the system's eigenvector statistics in the eigenbasis ofthe perturbation operator. For random eigenvector statistics the decay isexponential with a rate fixed precisely by the variance of the perturbation'senergy spectrum. Hence, even classically regular models can exhibit anexponential fidelity decay under generic quantum perturbations. These resultsclarify which perturbations can distinguish classically regular and chaoticquantum systems.Comment: 4 pages, 3 figures, LaTeX; published version (revised introduction  and discussion

Fidelity Decay as an Efficient Indicator of Quantum Chaos