Entangling gates from cabling of knots
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914032842178560 |
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| author | Mironov, Sergey Morozov, Andrey |
| author_facet | Mironov, Sergey Morozov, Andrey |
| contents | 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 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) while there is a non-trivial entangling two-qubit operation. We also present some examples of these operations for different parameters of the theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20931 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Entangling gates from cabling of knots Mironov, Sergey Morozov, Andrey Quantum Physics High Energy Physics - Theory 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 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) while there is a non-trivial entangling two-qubit operation. We also present some examples of these operations for different parameters of the theory. |
| title | Entangling gates from cabling of knots |
| topic | Quantum Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.20931 |