Decomposition of unitary matrix into quantum gates

Dmytro Fedoriaka

Decomposition of unitary matrix into quantum gates

Quantum Physics 2025-01-15 v1

Authors: Dmytro Fedoriaka

Abstract

An algorithm is proposed to convert arbitrary unitary matrix to a sequence of $X$ gates and fully controlled $R_y, R_z$ and $R_1$ gates. This algorithm is used to generate Q# implementation for arbitrary unitary matrix. Some optimizations are considered and complexity of the result is analyzed.

Keywords

quantum circuit compilation quantum computing quantum gates and qubits

Cite

@article{arxiv.2501.07786,
  title  = {Decomposition of unitary matrix into quantum gates},
  author = {Dmytro Fedoriaka},
  journal= {arXiv preprint arXiv:2501.07786},
  year   = {2025}
}

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