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arXiv · 2412.02345

On the Realization of quantum gates coming from the Tracy-Singh product

Fabienne Chouraqui
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Abstract

The Tracy-Singh product of matrices permits to construct a new gate $c \boxtimes c'$ from two $2$-qudit gates $c$ and $c'$. If $c$ and $c'$ are both Yang-Baxter gates, then $c \boxtimes c'$ is also a Yang-Baxter gate, and if at least one of them is entangling, then $c \boxtimes c'$ is also entangling. A natural question arises about the realisation of these gates, $c \boxtimes c'$, in terms of local and universal gates. In this paper, we consider this question and describe this realisation.

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Fabienne Chouraqui. 2024-12-03. On the Realization of quantum gates coming from the Tracy-Singh product. https://arxiv.org/abs/2412.02345

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