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Open Quantum Systems Decoherence

Fidelity decay as an efficient indicator of quantum chaos.

PubMed
Authors: Emerson J, Weinstein YS, Lloyd S, Cory DG

Year

2002

Paper ID

13048

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

115

Citations

150

Abstract

We demonstrate that a system's rate of fidelity decay under repeated perturbations may be measured efficiently on a quantum information processor, and analyze the conditions under which this indicator is a reliable probe of quantum chaos. The type and rate of the decay are not dependent on the eigenvalue statistics of the unperturbed system, but depend on the system's eigenvector statistics in the eigenbasis of the perturbation. For random eigenvector statistics, the decay is exponential with a rate fixed by the variance of the perturbation's energy spectrum. Hence, even classically regular models can exhibit an exponential fidelity decay under generic quantum perturbations. These results clarify which perturbations can distinguish classically regular and chaotic quantum systems.

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  • We demonstrate that a system's rate of fidelity decay under repeated perturbations may be measured efficiently on a quantum information processor, and analyze the conditions...

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References & Citation Signals

[1] DOI https://doi.org/10.1103/PhysRevLett.89.284102 [2] Publisher https://pubmed.ncbi.nlm.nih.gov/12513151/

Local Citation Graph (Related-Paper Links)

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External citation index: OpenAlex citation signal • updated 2026-06-13 02:34:07

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