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

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.

arXiv comment12 pages, 8 figures, 9 tables

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Cited by in corpus (2)

• Topological quantum compilation of metaplectic anyons based on the genetic optimized algorithms
• The construction of a universal quantum gate set for the $\mathrm{SU}(2{)}_k$ $(k=5,6,7)$ anyon models via genetic optimized algorithm