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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.17645 |
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| _version_ | 1866912142605680640 |
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| author | Tounsi, Abdellah Belaloui, Nacer Eddine Louamri, Mohamed Messaoud Benslama, Achour Rouabah, Mohamed Taha |
| author_facet | Tounsi, Abdellah Belaloui, Nacer Eddine Louamri, Mohamed Messaoud Benslama, Achour Rouabah, Mohamed Taha |
| contents | A method, termed controlled-injection, is proposed for compiling three-qubit controlled gates within the non-abelian Fibonacci anyon model. Building on single-qubit compilation techniques with three Fibonacci anyons, the approach showcases enhanced accuracy and reduced braid length compared to the conventional decomposition method for the controlled three-qubit gates. This method necessitates only four two-qubit gates for decomposition, a notable reduction from the conventional five. In conjunction, the study introduces a novel class of controlled three-qubit gates and conducts a numerical simulation of the topological iToffoli gate to validate the approach. In addition, we propose an optimization method for single-qubit gate approximation using novel algebraic relations and numerical methods, including distributed computing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_17645 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Optimized Topological Quantum Compilation of Three-Qubit Controlled Gates in the Fibonacci Anyon Model: A Controlled-Injection Approach Tounsi, Abdellah Belaloui, Nacer Eddine Louamri, Mohamed Messaoud Benslama, Achour Rouabah, Mohamed Taha Quantum Physics Mathematical Physics A method, termed controlled-injection, is proposed for compiling three-qubit controlled gates within the non-abelian Fibonacci anyon model. Building on single-qubit compilation techniques with three Fibonacci anyons, the approach showcases enhanced accuracy and reduced braid length compared to the conventional decomposition method for the controlled three-qubit gates. This method necessitates only four two-qubit gates for decomposition, a notable reduction from the conventional five. In conjunction, the study introduces a novel class of controlled three-qubit gates and conducts a numerical simulation of the topological iToffoli gate to validate the approach. In addition, we propose an optimization method for single-qubit gate approximation using novel algebraic relations and numerical methods, including distributed computing. |
| title | Optimized Topological Quantum Compilation of Three-Qubit Controlled Gates in the Fibonacci Anyon Model: A Controlled-Injection Approach |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2311.17645 |