53 citations · 140 across the 21 of their papers we have counts for
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The Yang-Baxter equation, Quantum computing and Quantum entanglement
Fabienne Chouraqui
We present a method to construct infinite families of entangling -qudit gates, and amongst them entangling -qudit gates which satisfy the Yang-Baxter equation. We show that,…
Yang-Baxter equation and cryptography
Fabienne Chouraqui
We find a method to construct iteratively from a non-degenerate involutive set-theoretic solution of the Yang-Baxter equation an infinite family of very large non-degenerate involu…
Garsideness properties of structure groups of set-theoretic solutions of the Yang-Baxter equation
Fabienne Chouraqui
There exists a multiplicative homomorphism from the braid group B to the Temperley-Lieb algebra TL. Moreover, the homomorphic images in TL of the simple elements form a basis for t…
A note on Garside monoids and Braces
Fabienne Chouraqui
A left brace is a triple , where is an abelian group, is a group, and there is a left-distributivity-like axiom that…
The Yang-Baxter equation and Thompson's group
Fabienne Chouraqui
In analogy with non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation and braces, we define non-degenerate involutive partial set-theoretic solutions and pa…
Herzog-Schonheim conjecture, vanishing sums of roots of unity and convex polygons
Fabienne Chouraqui
Let be a group and ,\ldots, be subgroups of of indices respectively. In 1974, M. Herzog and J. Schönheim conjectured that if $\{H_iα_i\}_{i=1}^{i…