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arXiv · 2303.02964

The Yang-Baxter equation, Quantum computing and Quantum entanglement

Fabienne Chouraqui
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Abstract

We present a method to construct infinite families of entangling $2$-qudit gates, and amongst them entangling $2$-qudit gates which satisfy the Yang-Baxter equation. We show that, given $2$-qudit gates $c$ and $d$, if $c$ or $d$ is entangling, then their Tracy-Singh product $c \boxtimes d$ is also entangling and we can provide non-entangled states which become entangled after the application of $c \boxtimes d$.

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Fabienne Chouraqui. 2023-03-06. The Yang-Baxter equation, Quantum computing and Quantum entanglement. https://doi.org/10.1088/1402-4896%2Fad7e57

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