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
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