Optimized Topological Quantum Compilation of Three-Qubit Controlled Gates in the Fibonacci Anyon Model: A Controlled-Injection Approach
Autor: | Tounsi, Abdellah, Belaloui, Nacer Eddine, Louamri, Mohamed Messaoud, Benslama, Achour, Rouabah, Mohamed Taha |
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Rok vydání: | 2023 |
Předmět: | |
Zdroj: | Phys. Rev. A 110, 012603 (2024) |
Druh dokumentu: | Working Paper |
DOI: | 10.1103/PhysRevA.110.012603 |
Popis: | 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. Comment: 12 pages, 8 figures, 9 tables |
Databáze: | arXiv |
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