Geometric quantum speed limits for Markovian dynamics in open quantum systems Article Swipe
Kang Lan
,
Shijie Xie
,
X. Cai
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1088/1367-2630/ac696b
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1088/1367-2630/ac696b
We study theoretically the geometric quantum speed limits (QSLs) of open quantum systems under Markovian dynamical evolution. Three types of QSL time bounds are introduced based on the geometric inequality associated with the dynamical evolution from an initial state to a final state. By illustrating three types of QSL bounds at the cases of presence or absence of system driving, we demonstrate that the unitary part, dominated by system Hamiltonian, supplies the internal motivation for a Markovian evolution which deviates from its geodesic. Specifically, in the case of unsaturated QSL bounds, the parameters of the system Hamiltonian serve as the eigen-frequency of the oscillations of geodesic distance in the time domain and, on the other hand, drive a further evolution of an open quantum system in a given time period due to its significant contribution in dynamical speedup. We present physical pictures of both saturated and unsaturated QSLs of Markovian dynamics by means of the dynamical evolution trajectories in the Bloch sphere which demonstrates the significant role of system Hamiltonian even in the case of initial mixed states. It is further indicated that whether the QSL bound is saturated is ruled by the commutator between the Hamiltonian and reduced density matrix of the quantum system. Our study provides a detailed description of QSL times and reveals the effects of system Hamiltonian on the unsaturation of QSL bounds under Markovian evolution.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1088/1367-2630/ac696b
- OA Status
- gold
- Cited By
- 29
- References
- 90
- Related Works
- 10
- OpenAlex ID
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https://doi.org/10.1088/1367-2630/ac696bDigital Object Identifier
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Geometric quantum speed limits for Markovian dynamics in open quantum systemsWork title
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articleOpenAlex work type
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enPrimary language
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2022Year of publication
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2022-04-22Full publication date if available
- Authors
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Kang Lan, Shijie Xie, X. CaiList of authors in order
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https://doi.org/10.1088/1367-2630/ac696bPublisher landing page
- Open access
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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://doi.org/10.1088/1367-2630/ac696bDirect OA link when available
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Physics, Geodesic, Hamiltonian (control theory), Quantum system, Quantum, Time evolution, Quantum decoherence, Hamiltonian system, Statistical physics, Unitary state, Classical mechanics, Quantum dynamics, Quantum mechanics, Mathematical analysis, Mathematics, Law, Mathematical optimization, Political scienceTop concepts (fields/topics) attached by OpenAlex
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29Total citation count in OpenAlex
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2025: 9, 2024: 7, 2023: 7, 2022: 6Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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