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Methodology for quantum logic gate constructions

Xinlan Zhou·Debbie W. Leung·Isaac L. Chuang
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Abstract

We present a general method to construct fault-tolerant quantum logic gates with a simple primitive, which is an analog of quantum teleportation. The technique extends previous results based on traditional quantum teleportation (Gottesman and Chuang, Nature {\bf 402}, 390, 1999) and leads to straightforward and systematic construction of many fault-tolerant encoded operations, including the $π/8$ and Toffoli gates. The technique can also be applied to the construction of remote quantum operations that cannot be directly performed.

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Xinlan Zhou, Debbie W. Leung, Isaac L. Chuang. 2000-08-01. Methodology for quantum logic gate constructions. https://doi.org/10.1103/physreva.62.052316

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