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4 papers · 1 filter
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,…
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…
The Zappa-Szep product of left-orderable groups
Fabienne Chouraqui
It is well-known that the direct product of left-orderable groups is left-orderable and that, under a certain condition, the semi-direct product of left-orderable groups is left-or…