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arXiv · 1311.3599

Decomposition of quantum gates

Chi-Kwong Li·Diane Pelejo
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Abstract

A recurrence scheme is presented to decompose an $n$-qubit unitary gate to the product of no more than $N(N-1)/2$ single qubit gates with small number of controls, where $N = 2^n$. Detailed description of the recurrence steps and formulas for the number of $k$-controlled single qubit gates in the decomposition are given. Comparison of the result to a previous scheme is presented, and future research directions are discussed.

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Chi-Kwong Li, Diane Pelejo. 2013-12-05. Decomposition of quantum gates. https://arxiv.org/abs/1311.3599

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