Yang–Baxter equation in all dimensions and universal qudit gates.

We construct solutions of the Yang–Baxter equation in any dimension by directly generalizing the previously found solutions for . We equip those solutions with unitarity and entangling properties. Being unitary, they can be turned into -qudit quantum logic gates for qudit-based systems. The entangling property enables each of those solutions, together with all -qudit gates, to form a universal set of quantum logic gates. [ABSTRACT FROM AUTHOR]