Entangling gates from cabling of knots.
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| Title: | Entangling gates from cabling of knots. |
|---|---|
| Authors: | Mironov, Sergey1,2,3 (AUTHOR) sa.mironov_1@physics.msu.ru, Morozov, Andrey2,4,5 (AUTHOR) morozov.andrey.a@iitp.ru |
| Source: | European Physical Journal C -- Particles & Fields. Jul2025, Vol. 85 Issue 7, p1-7. 7p. |
| Subjects: | Quantum entanglement, Quantum gates, Knot theory, Braided structures, Quantum computing |
| Abstract: | While there is a general consensus about the structure of one qubit operations in topological quantum computer, two qubits are as usual a more difficult and complex story of different attempts with varying approaches, problems and effectiveness. In this paper we discuss how to construct an efficient realization of a two qubit gate in topological quantum computer, by using principle of cabling from the knot theory. This allows one to construct a braiding of cables dependent on the parameters of the theory where there is a low probability of moving out of computational space (high fidelity of operation) with a non-trivial entangling two-qubit operation. We also present some examples of these operations for different parameters of the theory. [ABSTRACT FROM AUTHOR] |
| Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature 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 |
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| Header | DbId: egs DbLabel: Engineering Source An: 187406284 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Entangling gates from cabling of knots. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Mironov%2C+Sergey%22">Mironov, Sergey</searchLink><relatesTo>1,2,3</relatesTo> (AUTHOR)<i> sa.mironov_1@physics.msu.ru</i><br /><searchLink fieldCode="AR" term="%22Morozov%2C+Andrey%22">Morozov, Andrey</searchLink><relatesTo>2,4,5</relatesTo> (AUTHOR)<i> morozov.andrey.a@iitp.ru</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+C+--+Particles+%26+Fields%22">European Physical Journal C -- Particles & Fields</searchLink>. Jul2025, Vol. 85 Issue 7, p1-7. 7p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Quantum+entanglement%22">Quantum entanglement</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+gates%22">Quantum gates</searchLink><br /><searchLink fieldCode="DE" term="%22Knot+theory%22">Knot theory</searchLink><br /><searchLink fieldCode="DE" term="%22Braided+structures%22">Braided structures</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+computing%22">Quantum computing</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: While there is a general consensus about the structure of one qubit operations in topological quantum computer, two qubits are as usual a more difficult and complex story of different attempts with varying approaches, problems and effectiveness. In this paper we discuss how to construct an efficient realization of a two qubit gate in topological quantum computer, by using principle of cabling from the knot theory. This allows one to construct a braiding of cables dependent on the parameters of the theory where there is a low probability of moving out of computational space (high fidelity of operation) with a non-trivial entangling two-qubit operation. We also present some examples of these operations for different parameters of the theory. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature 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.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=187406284 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1140/epjc/s10052-025-14492-4 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 1 Subjects: – SubjectFull: Quantum entanglement Type: general – SubjectFull: Quantum gates Type: general – SubjectFull: Knot theory Type: general – SubjectFull: Braided structures Type: general – SubjectFull: Quantum computing Type: general Titles: – TitleFull: Entangling gates from cabling of knots. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Mironov, Sergey – PersonEntity: Name: NameFull: Morozov, Andrey IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: Jul2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 14346044 Numbering: – Type: volume Value: 85 – Type: issue Value: 7 Titles: – TitleFull: European Physical Journal C -- Particles & Fields Type: main |
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