Entangling gates from cabling of knots
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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-07-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14492-4 |
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| _version_ | 1849342035070287872 |
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| author | Sergey Mironov Andrey Morozov |
| author_facet | Sergey Mironov Andrey Morozov |
| author_sort | Sergey Mironov |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-189b2847eb4c4d04a99b0792dcb77ba8 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-189b2847eb4c4d04a99b0792dcb77ba82025-08-20T03:43:30ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-07-018571710.1140/epjc/s10052-025-14492-4Entangling gates from cabling of knotsSergey Mironov0Andrey Morozov1INR RASIITP RASAbstract 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.https://doi.org/10.1140/epjc/s10052-025-14492-4 |
| spellingShingle | Sergey Mironov Andrey Morozov Entangling gates from cabling of knots European Physical Journal C: Particles and Fields |
| title | Entangling gates from cabling of knots |
| title_full | Entangling gates from cabling of knots |
| title_fullStr | Entangling gates from cabling of knots |
| title_full_unstemmed | Entangling gates from cabling of knots |
| title_short | Entangling gates from cabling of knots |
| title_sort | entangling gates from cabling of knots |
| url | https://doi.org/10.1140/epjc/s10052-025-14492-4 |
| work_keys_str_mv | AT sergeymironov entanglinggatesfromcablingofknots AT andreymorozov entanglinggatesfromcablingofknots |