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arXiv · 2311.17645

Optimized Topological Quantum Compilation of Three-Qubit Controlled Gates in the Fibonacci Anyon Model: A Controlled-Injection Approach

Abdellah Tounsi·Nacer Eddine Belaloui·Mohamed Messaoud Louamri·Achour Benslama·Mohamed Taha Rouabah
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Abstract

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.

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Abdellah Tounsi, Nacer Eddine Belaloui, Mohamed Messaoud Louamri, Achour Benslama, Mohamed Taha Rouabah. 2023-11-29. Optimized Topological Quantum Compilation of Three-Qubit Controlled Gates in the Fibonacci Anyon Model: A Controlled-Injection Approach. https://doi.org/10.1103/physreva.110.012603

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