Fidelity Decay as an Efficient Indicator of Quantum Chaos
Open accessAbstract
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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From studies of quantum chaos it is known that efficient chaotic quantum maps are faithful to the universal Haar-averaged fidelity decay under imperfect motion-reversal.
“and from studies of quantum chaos it is known that efficient chaotic quantum maps are faithful to the universal Haaraveraged fidelity decay under imperfect motion-reversal [14].”
From Scalable noise estimation with random unitary operators (2005) · cites this paper as [14]
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Self-citation
- Authors
- Emerson, J., Weinstein, Y. S., Lloyd, S., & Cory, D. G.
- Affiliations
- Massachusetts Institute of Technology (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2002-12-31
- Volume
- 89
- Issue
- 28
- Pages
- 284102-284102
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2019009628
- Cited by
- 147
- References
- 21
- Citations by year
- 2025: 2 · 2024: 5 · 2023: 3 · 2022: 3 · 2021: 9 · 2020: 3 · 2019: 5 · 2018: 3 · 2016: 7 · 2015: 2 · 2014: 10 · 2013: 2 · 2012: 2
- FWCI
- 8.90
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- PubMed (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- fidelity decay, quantum chaos, quantum perturbations, eigenvector statistics, quantum information processing, exponential decay rate
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