53 citations · 140 across the 21 of their papers we have counts for
23 papers
On the Realization of quantum gates coming from the Tracy-Singh product
Fabienne Chouraqui
The Tracy-Singh product of matrices permits to construct a new gate from two -qudit gates and . If and are both Yang-Baxter gates, then $c \box…
When the Tracy-Singh product of matrices represents a certain operation on linear operators
Fabienne Chouraqui
Given two linear transformations, with representing matrices and with respect to some bases, it is not clear, in general, whether the Tracy-Singh product of the matrices $A…
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…