Stochastic resetting in discrete-time quantum dynamics: steady states and correlations in few-qubit systems Article Swipe
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· 2025
· Open Access
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· DOI: https://doi.org/10.22331/q-2025-05-13-1742
Time evolution in several classes of quantum devices is generated through the application of quantum gates. Resetting is a critical technological feature in these systems allowing for mid-circuit measurement and complete or partial qubit reset. The possibility of realizing discrete-time reset dynamics on quantum computers makes it important to investigate the steady-state properties of such dynamics. Here, we explore the behavior of generic discrete-time unitary dynamics interspersed by random reset events. For Poissonian resets, we compute the stationary state of the process and demonstrate, by taking a weak-reset limit, the existence of "resonances" in the quantum gates, allowing for the emergence of steady state density matrices which are not diagonal in the eigenbasis of the generator of the unitary gate. Such resonances are a genuine discrete-time feature and impact on quantum and classical correlations even beyond the weak-reset limit. Furthermore, we consider non-Poissonian reset processes and explore conditions for the existence of a steady state. We show that, when the reset probability vanishes sufficiently rapidly with time, the system does not approach a steady state. Our results highlight key differences between continuous-time and discrete-time stochastic resetting and may be useful to engineer states with controllable correlations on existing devices.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.22331/q-2025-05-13-1742
- https://quantum-journal.org/papers/q-2025-05-13-1742/pdf/
- OA Status
- gold
- Cited By
- 2
- References
- 57
- Related Works
- 10
- OpenAlex ID
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https://openalex.org/W4410327272Canonical identifier for this work in OpenAlex
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https://doi.org/10.22331/q-2025-05-13-1742Digital Object Identifier
- Title
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Stochastic resetting in discrete-time quantum dynamics: steady states and correlations in few-qubit systemsWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2025Year of publication
- Publication date
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2025-05-13Full publication date if available
- Authors
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Sascha Wald, Louie Hong Yao, Thierry Platini, C. Hooley, Federico CarolloList of authors in order
- Landing page
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https://doi.org/10.22331/q-2025-05-13-1742Publisher landing page
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https://quantum-journal.org/papers/q-2025-05-13-1742/pdf/Direct link to full text PDF
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YesWhether a free full text is available
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goldOpen access status per OpenAlex
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https://quantum-journal.org/papers/q-2025-05-13-1742/pdf/Direct OA link when available
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Dynamics (music), Qubit, Stochastic dynamics, Statistical physics, Quantum, Physics, Mathematics, Quantum mechanics, AcousticsTop concepts (fields/topics) attached by OpenAlex
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2Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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