Anticoherent k-planes and coding techniques for a 3-qubit scheme of universal quantum computing.
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| Title: | Anticoherent k-planes and coding techniques for a 3-qubit scheme of universal quantum computing. |
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| Authors: | Aragón-Muñoz, L.1 (AUTHOR) luis.aragon@correo.nucleares.unam.mx, Chryssomalakos, C.1 (AUTHOR) chryss@nucleares.unam.mx, Flores-Delgado, A. G.1 (AUTHOR) ana.flores@correo.nucleares.unam.mx, Rascón-Barajas, V.1 (AUTHOR) valentina.rascon@correo.nucleares.unam.mx, Mota, I. Vázquez1 (AUTHOR) igor.vazquez@correo.nucleares.unam.mx |
| Source: | Modern Physics Letters A. 6/7/2026, Vol. 41 Issue 17, p1-14. 14p. |
| Subjects: | Quantum computing, Quantum gates, Computer programming, Hadamard matrices |
| Abstract: | Toponomic quantum computing employs rotation sequences of anticoherent k-planes to construct noise-tolerant quantum gates. In this work, we demonstrate the implementation of generalized Toffoli gates, using k-planes of spin systems with spin s ≥ k + 1 , and of the Hadamard gate for a 3-qubit system, using a spin s = 1 5 8-plane. We propose a universal quantum computing scheme for 3-qubit systems (via Hadamard and Toffoli gates) based on coding techniques. A key advantage of this construction is its inherent robustness against noise: apart from reparametrization invariance, our scheme is characterized by immunity to arbitrarily large deformations of the path in (rotational) parameter space that fix its end points, so that curves in the same homotopy class give rise to identical holonomies. [ABSTRACT FROM AUTHOR] |
| Copyright of Modern Physics Letters A is the property of World Scientific Publishing Company 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: 193816506 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Anticoherent k-planes and coding techniques for a 3-qubit scheme of universal quantum computing. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Aragón-Muñoz%2C+L%2E%22">Aragón-Muñoz, L.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> luis.aragon@correo.nucleares.unam.mx</i><br /><searchLink fieldCode="AR" term="%22Chryssomalakos%2C+C%2E%22">Chryssomalakos, C.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> chryss@nucleares.unam.mx</i><br /><searchLink fieldCode="AR" term="%22Flores-Delgado%2C+A%2E+G%2E%22">Flores-Delgado, A. G.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> ana.flores@correo.nucleares.unam.mx</i><br /><searchLink fieldCode="AR" term="%22Rascón-Barajas%2C+V%2E%22">Rascón-Barajas, V.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> valentina.rascon@correo.nucleares.unam.mx</i><br /><searchLink fieldCode="AR" term="%22Mota%2C+I%2E+Vázquez%22">Mota, I. Vázquez</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> igor.vazquez@correo.nucleares.unam.mx</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Modern+Physics+Letters+A%22">Modern Physics Letters A</searchLink>. 6/7/2026, Vol. 41 Issue 17, p1-14. 14p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Quantum+computing%22">Quantum computing</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+gates%22">Quantum gates</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+programming%22">Computer programming</searchLink><br /><searchLink fieldCode="DE" term="%22Hadamard+matrices%22">Hadamard matrices</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Toponomic quantum computing employs rotation sequences of anticoherent k-planes to construct noise-tolerant quantum gates. In this work, we demonstrate the implementation of generalized Toffoli gates, using k-planes of spin systems with spin s ≥ k + 1 , and of the Hadamard gate for a 3-qubit system, using a spin s = 1 5 8-plane. We propose a universal quantum computing scheme for 3-qubit systems (via Hadamard and Toffoli gates) based on coding techniques. A key advantage of this construction is its inherent robustness against noise: apart from reparametrization invariance, our scheme is characterized by immunity to arbitrarily large deformations of the path in (rotational) parameter space that fix its end points, so that curves in the same homotopy class give rise to identical holonomies. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Modern Physics Letters A is the property of World Scientific Publishing Company 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.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1142/S0217732326500768 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 14 StartPage: 1 Subjects: – SubjectFull: Quantum computing Type: general – SubjectFull: Quantum gates Type: general – SubjectFull: Computer programming Type: general – SubjectFull: Hadamard matrices Type: general Titles: – TitleFull: Anticoherent k-planes and coding techniques for a 3-qubit scheme of universal quantum computing. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Aragón-Muñoz, L. – PersonEntity: Name: NameFull: Chryssomalakos, C. – PersonEntity: Name: NameFull: Flores-Delgado, A. G. – PersonEntity: Name: NameFull: Rascón-Barajas, V. – PersonEntity: Name: NameFull: Mota, I. Vázquez IsPartOfRelationships: – BibEntity: Dates: – D: 07 M: 06 Text: 6/7/2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 02177323 Numbering: – Type: volume Value: 41 – Type: issue Value: 17 Titles: – TitleFull: Modern Physics Letters A Type: main |
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