Quantum $\mathcal{R}$-matrices as universal qubit gates

Nikita Kolganov; Andrey Morozov

doi:10.1134/S0021364020090027

Quantum $\mathcal{R}$-matrices as universal qubit gates

High Energy Physics - Theory 2020-05-20 v1 Quantum Physics

Authors: Nikita Kolganov , Andrey Morozov

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Abstract

We study the Chern-Simons approach to the topological quantum computing. We use quantum $\mathcal{R}$ -matrices as universal quantum gates and study the approximations of some one-qubit operations. We make some modifications to the known Solovay-Kitaev algorithm suitable for our particular problem.

Keywords

quantum circuit compilation quantum computing quantum search algorithms

Cite

@article{arxiv.2004.07764,
  title  = {Quantum $\mathcal{R}$-matrices as universal qubit gates},
  author = {Nikita Kolganov and Andrey Morozov},
  journal= {arXiv preprint arXiv:2004.07764},
  year   = {2020}
}

Comments

6 pages, 5 figures

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