The limits of quantum information scrambling.
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| Title: | The limits of quantum information scrambling. |
|---|---|
| Authors: | Abd-Rabbou, M Y1,2 (AUTHOR) m.elmalky@azhar.edu.eg, Zahia, Ahmed A3 (AUTHOR) ahmed.zahia@fsc.bu.edu.eg, ur Rahman, Atta1 (AUTHOR) attazaib5711@gmail.com, Feng Qiao, Cong1,4 (AUTHOR) qiaocf@ucas.ac.cn |
| Source: | Journal of Physics A: Mathematical & Theoretical. 6/23/2025, Vol. 58 Issue 25, p1-15. 15p. |
| Subjects: | Qubits |
| Abstract: | Quantum information scrambling is a pivotal area of inquiry within the study of quantum many-body systems. This research derives mathematical upper and lower bounds for the scrambling rate by applying the Maligranda inequality. Our results indicate that the upper bounds, lower bounds, and scrambling rates coincide precisely when local operators exhibit to be unitary-Hermitian. Crucially, the convergence or divergence of these upper and lower bounds relative to the scrambling rate is contingent upon the system's initial state. The spin-star model to validate this theoretical framework is investigated, considering thermal and pure initial states. The implantation of the ancilla or external qubit aligns the scrambling rate with the established bounds. The upper and lower bounds may diverge from the scrambling rate based on the system's initial state when both local operators are multi-quit systems. The scrambling rate found grows with the increase of the qubit number in local operators. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Physics A: Mathematical & Theoretical is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 186014768 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1088/1751-8121/ade1b9 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 15 StartPage: 1 Subjects: – SubjectFull: Qubits Type: general Titles: – TitleFull: The limits of quantum information scrambling. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Abd-Rabbou, M Y – PersonEntity: Name: NameFull: Zahia, Ahmed A – PersonEntity: Name: NameFull: ur Rahman, Atta – PersonEntity: Name: NameFull: Feng Qiao, Cong IsPartOfRelationships: – BibEntity: Dates: – D: 23 M: 06 Text: 6/23/2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 17518113 Numbering: – Type: volume Value: 58 – Type: issue Value: 25 Titles: – TitleFull: Journal of Physics A: Mathematical & Theoretical Type: main |
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