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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations

Optimal Ancilla-free Pauli+V Circuits for Axial Rotations

arXiv

Authors: Andreas Blass, Alex Bocharov, Yuri Gurevich

Year

2014

Paper ID

46114

Status

Preprint

Abstract Read

~2 min

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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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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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Recently Neil Ross and Peter Selinger analyzed the problem of approximating z- rotations by means of single-qubit Clifford+T circuits.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1412.1033 [2] arXiv https://arxiv.org/abs/1412.1033 [3] Publisher https://arxiv.org/abs/1412.1033

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