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arXiv · 1412.1033

Optimal Ancilla-free Pauli+V Circuits for Axial Rotations

Andreas Blass·Alex Bocharov·Yuri Gurevich
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Abstract

Recently Neil Ross and Peter Selinger analyzed the problem of approximating z- rotations by means of single-qubit Clifford+T circuits. Their main contribution is a deterministic-search technique which allowed them to make approximating circuits shallower. We adapt the deterministic-search technique to the case of Pauli+V circuits and prove similar results. Because of the relative simplicity of the Pauli+V framework, we use much simpler geometric methods.

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Andreas Blass, Alex Bocharov, Yuri Gurevich. 2014-12-02. Optimal Ancilla-free Pauli+V Circuits for Axial Rotations. https://doi.org/10.1063/1.4936990

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