Compiling single-qubit braiding gate for Fibonacci anyons topological quantum computation

Mohamed Taha Rouabah

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arXiv · 2008.03542

Compiling single-qubit braiding gate for Fibonacci anyons topological quantum computation

Mohamed Taha Rouabah

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Abstract

Topological quantum computation is an implementation of a quantum computer in a way that radically reduces decoherence. Topological qubits are encoded in the topological evolution of two-dimensional quasi-particles called anyons and universal set of quantum gates can be constructed by braiding these anyons yielding to a topologically protected circuit model. In the present study we remind the basics of this emerging quantum computation scheme and illustrate how a topological qubit built with three Fibonacci anyons might be adopted to achieve leakage free braiding gate by exchanging the anyons composing it. A single-qubit braiding gate that approximates the Hadamard quantum gate to a certain accuracy is numerically implemented using a brute force search method. The algorithms utilized for that purpose are explained and the numerical programs are publicly shared for reproduction and further use.

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Mohamed Taha Rouabah. 2020-08-08. Compiling single-qubit braiding gate for Fibonacci anyons topological quantum computation. https://arxiv.org/abs/2008.03542

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